...

from MathWorld which stated that algebraic links were fibered and arose from algebraic geometry. Not all algebraic links are fibered (for example, even...

merging implies to give a definition of abstract algebraic varieties in terms of classical algebraic varieties (this is not done in the existing article)...

these early developments in algebraic geometry dealt with questions of finding and describing the intersections of algebraic curves.", but this is not sourced...

disagreement between these two statements in wiki pages: algebraic numbers: "A real algebraic number of degree 2 is a quadratic irrational." quadratic...

into Algebraic normal form as synonyms; no support for the additional proposal involving Normal form (Boolean algebra)Normal form (Boolean algebra). Klbrain...

incorrect: "When A is a Dedekind domain (e.g. the ring of algebraic integers in an algebraic number field), SK1(A) is zero." It IS true for the ring of...

rigorous algebraic geometry did coexist with the algebraization of algebraic geometry through commutative algebra 3/ the modern classical algebraic geometry...

for "multilinear algebra" and "linear algebra", these aren't algebraic structures, so they don't merit entries in a list of algebraic structures. They're...

the algebra. Although the linked page Outline_of_algebraic_structures#Types_of_algebraic_structures does list and qualify many common types of algebra, it...

There shouldn't exist distinct article from algebraic differential equation and differential algebraic equation because it only serves to separate and...

(UTC) The comment(s) below were originally left at Talk:Algebraic topology/CommentsTalk:Algebraic topology/Comments, and are posted here for posterity....

comment(s) below were originally left at Talk:Motive (algebraic geometry)/CommentsTalk:Motive (algebraic geometry)/Comments, and are posted here for posterity...

necessary commonalities, how is numeric notation "similar" to standard algebraic?!) I had the sec previously named "Kindred notations", which I still think...

2018 (UTC) Deciding if a graph is an algebraic structure depends on the definition that is given to "algebraic structure", and to "operation". In fact...

not. All of the references in this article use the term "Algebraic Eraser", not "Algebraic Eraser Diffie-Hellman". I see no good reason to introduce...

Besides putting it in line with the list of algebraic curves, I think organizing the list makes algebraic surfaces more accessible, since "easy" surfaces...

references myself, but mostly I was just turning "algebraic equation" into a link.) And I've not seen "algebraic equation" used in the more general sense you...

seems abstract algebra only has application in mathematics to develop more complex concept such as algebraic number theory or algebraic topology.kongshengxin...

that elementary algebra generalizes arithmetic while abstract algebra generalizes elementary algebra? Source: ALT1: ... that algebraic methods were already...

describes the dot product as an algebraic operation, but the algebraic operation article limits the definition of algebraic operation to addition, subtraction...

image: The comment(s) below were originally left at Talk:Algebraic graph theory/CommentsTalk:Algebraic graph theory/Comments, and are posted here for posterity...

the sake of internal consistency arguments of algebraic geometry. the categoric definition of algebraic groups is also too technical for the lead, it's...

non-mathematical meanings. "Algebraic" leaves no doubt that we're talking about a mathematical term. I suppose "Formal algebraic character" would just be...

reads: "An algebraic curve likewise has topological dimension two; in other words, it is a surface." A surface is by definition a manifold. Algebraic curves...

article is. Is it about algebraic structures in general, or is is mainly about algebraic structures in the sense of universal algebras. Motivation for edit...

being a multiple of mean in the general setting of algebraic expressions; does multiplying by an algebraic fraction count as producing a multiple? Also this...

destination and so he did not "create" algebraic geometry. selfworm 23:30, 20 February 2007 (UTC) A history of algebra with nary a mention of René Descartes...

definition of algebraic integer as defined in the article does not satisfy many desirable properties of integers, i.e. that: Algebraic integers defined...

major bonus: namely, that of having embodied an algebraic rendition of a Chomsky-like hierarchy. One algebra of interest is that where least upper bounds...

The sentence ¨algebraic curves are schemes¨ reads a bit odd. Most people who dont know about algebraic spaces would define an algebraic curve to be a...

the strings in quotes: Google "Algebraic quantum field theory" Google "Local quantum field theory" Gscholar "Algebraic quantum field theory" Gscholar...

trigonometric functions, hyperbolic functions and so on. An algebraic expression contains only algebraic operations including exponentiation to a rational power...

to this? In particular, why is this called algebraic? What makes it that way? What are some non-algebraic types that may provide the same features, or...

FWIW, here's a table of values for the algebraic connectivity for lots of real networks: http://konect.uni-koblenz.de/statistics/alcon –Jérôme (talk)...

I do work in Algebraic Logic and adjacent fields. I didnt recognize the subject from the first sentence "In mathematical logic, algebraic logic is the...

Differential algebra, Differential-Algebraic Equation, and this article need to be reorganized. Really the article on Differential-Algebraic Equations is...

Hussein Tevfik Pasha, from the 1800s. The textbook's title was "Linear algebra" so the connection to the topic is quite clear. Secondly of course "Unexplained...

things with the same terminology and notation in (for example) algebraic geometry. But "algebra over a commutative ring" isn't too hot either, being less familiar...

algebraic numbers, since solutions to polynomials of degree five or higher cannot be obtained in this way, and yet they are by definition algebraic numbers...

originally left at Talk:Discriminant of an algebraic number field/CommentsTalk:Discriminant of an algebraic number field/Comments, and are posted here...

groups, rings, fields, and modules from abstract algebra, along with the basic fundaments of algebraic topology. I suppose chain complexes would be a concrete...

field of algebraic number theory, relegating the details to subarticles. For example, since my edits, Jakob.scholbach has much improved the algebraic number...

different pages for algebraic semantics in the two areas, and a disambiguation page between them? Shouldn't they be the same topic? Algebraic semantics — Preceding...

changed algebraic equations to polynomials. Much of algebraic geometry is centered around the study of finitely generated algebras over an algebraically closed...

I believe Extension (Algebra) should be merged into the main topic Algebraic extension. I know that an extension and an algebraic extension are different...

posets and as algebraic structures, and that the article could/should present both definitions, as it is/was done for example with boolean algebra and lattice...

some boolean algebras are not power sets. Never mind that there are (40-year-old) classification theorems for countable boolean algebras. I would love...

algebraic set, it is about existence of a smooth submanifold of RP^n which can never be isotoped to the real part of a nonsingular complex algebraic subset...

fixing this algebraic geometry code mess. Particularly, one of the biggest things I still need to do is move this page to one called "Algebraic geometry...

2007 (UTC) You are all nerds It would be useful with a definition of an algebraic expression. The article Expression (mathematics) is quite vague regarding...

Exclusive or -- Algebraic normal form -- Boolean-valued model -- Algebra of sets -- Lindenbaum–Tarski algebra -- Free Boolean algebra -- Logical conjunction...

The redirect Differential algebraic variety has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines...

reference this article need clarification. Googling also yields a book on Algebraic Semantics, which should be mentioned, as should the language (family)...

(talk) 10:23, 20 November 2015 (UTC) In what way can we speak of the algebraic closure? The K-isomorphism is non-canonical in general. --84.165.192.126...

concepts: Self-conjugacy of a component of an algebraic variety. The article title "Numerical algebraic geometry" is confusing, as suggesting that the...

essentially a stub for algebraic stacks, i.e., very particular types of stacks in groupoids that are suitably "covered" by algebraic spaces. Whereas stacks...

broad, but not the broadest imaginable, class of algebraic tori. Say, for example, over an algebraically closed field, or over the complex numbers. I presume...

following distinction: Logistic abstract algebraic logic. This includes subsections on: Algebraizable logics The algebraic hierachy Protoalgebraic logics Second-order...

Jordan decomposition. I was careful of course to include the hypothesis of algebraic closure in the statement. (In this case, passing to a field extension...

when I was reordering your questions. An algebraic structure is a generic name for a set on which some algebraic operation is defined. Such as addition...

does It is the countable analog of a Boolean algebra, and every σ-algebra is a (represented) Boolean algebra. mean? And is a σ-field just a variant term...

January 2006 (UTC) See algebraic set. You need irreducibility for the definition of function field and hence of dimension of an algebraic variety. Charles Matthews...

definition given here, an algebraic sentence has no quantifiers and therefore not bound variables. Therefore an algebraic sentence would have no variables...

not clear though if this article is helpful. Essentially, almost all of algebraic toplogy is about induced homomorphisms. Oded (talk) 04:53, 16 June 2008...

126 12:36, 4 March 2007 (UTC) "Algebraic number theory" can also be interpreted as the arithmetic theory of algebraic numbers. Lhf 11:23, 11 October 2007...

_enc=info%3Aofi%2Fenc%3AUTF-8&rft.title=Algebraic+Geometry&rft.object_id=4230000000000058&rft.jtitle=Algebraic+Geometry&rft_val_fmt=info%3Aofi%2Ffmt%3...

place for it is algebraic variety. -- Taku (talk) 06:12, 11 December 2016 (UTC) There is no general notion of the degree of an algebraic variety, as the...

specifically, what they call an "algebraic theory" is a category whose internal language is capable of expressing an algebraic theory. Category theorists have...

(UTC) The standard definition of "point of an algebraic variety" is "point with coordinates in an algebraically closed field". This is this standard definition...

October 2011 (UTC) "Basic algebra" redirects here but this is also a algebraic terminology: A finite-dimensional K-algebra A is basic iff every indecomposable...

is an algebraic number. However x 2 + 1 = 0 {\displaystyle x^{2}+1=0} has no solution in the algebraic numbers. Is my definition of algebraic number...

the context of universal algebra, are about classes of algebraic structures, more specifically those consisting of algebraic structure of a specific language...

{\displaystyle \Delta (k)=k(1\boxtimes 1)=k\boxtimes 1=1\boxtimes k} But under Hopf algebra: Compatibility we have ( ∇ ∘ ( S ⊠ i d ) ∘ Δ ) ( k ) = ( ∇ ∘ ( S ⊠ i d...

"moduli space of algebraic curves", since I think it's a little more precise (one could imagine construing curve in the non-algebraic sense), but I think...

mathematicians have developed an algebraic method for describing the symmetries involved. Isn't it the other way around? The SUSY algebra came first and it predicts...

usually don’t see the discussion of Hopf algebras; they are more common in textbooks on algebraic groups or in algebraic topology. You said “I do not see the...

GL(n,C) - I guess. But in what sense is the unitary group _not_ a real algebraic group? Charles Matthews 20:32, 10 Dec 2003 (UTC) The unitary group U(n)...

usually chooses a state on each of the von Neumann algebras, uses this to define a state on the algebraic tensor product, which can be used to product a Hilbert...

terms used. For example, what it means that it is an algebra, a graded algebra, associative algebra, alternating. Oriented areas provide a model for what...

homological algebra. The development of algebraic topology during the 1940s gave additional incentive for the development of a purely algebraic treatment...

imagine where there are two articles on this topic: Algebraic semantics (computer science) and Algebraic semantics (mathematical logic) -- aren't these two...

place to address a potential problem with the redirect Singulairty of an algebraic variety and it has been listed for discussion. Readers of this page are...

that it is an essentially algebraic concept? Indeed, is there a source at all? I suggest a merger into Von Neumann algebra as a single paragraph provided...

says that algebraic manipulation with pencil and paper is symbolic computation? The article currently says "Symbolic computation or algebraic computation...

Do conditional event algebras form a category with nice properties? For instance, the sentence "The latter, however, support the intuitively appealing...

the articles on algebraic notation written in the international wiki's? I don't see the point in telling someone the Russian algebraic notation in the...

anyone is curious what "quantum algebra" studies, well, "In quantum algebra we’re often studying some classical algebraic notion, but instead of working...

of abstract (or modern) algebra, and not distinct branches! Linear algebra Universal algebra Algebraic number theory Algebraic combinatorics of course...

higher-dimensional manifolds, especially in such fields as algebraic geometry and algebraic topology, the intersection number generalises the intuitive...

replaced by any braided monoidal k-linear category. The notion of a Lie algebra can be defined (and is studied) in this generality, and I guess that this...

the same way as derived category. It is classic that many operations in algebraic geometry make sense only in the derived category of say quasi-coherent...

differential equations, such as the formal treatment of differentials on algebraic varieties. I suggest reverting both changes. Deltahedron (talk) 20:03...

the algebraic geometry, commutative algebra, and algebraic number theory pages on wikipedia should include example computations using computer algebra systems...

.boolean functions represented in Algebraic Normal Form. This form was invented by Zhegalkin... From the algebraic point of view, ANF is a polylinear...

modules and vector spaces algebras over fields associative algebras and Lie algebras lattices and Boolean algebras See algebraic structures for these and...

Unlike the general notion of a K-theory, which was introduced in an algebraic context by Grothendieck, the equivariant version of K-theory, I believe...

to Algebraic reconstruction technique per nom. No such user (talk) 10:23, 22 September 2017 (UTC) Algebraic Reconstruction Technique → Algebraic reconstruction...

.then we can detect all the topological information by analysing the algebraic structure of the ring. Of course, this is only topological information...

to by various names including algebraic manipulation, symbolic computation, algebraic algorithms, and computer algebra, to name a few." [10] Yappy2bhere...

here) and an algebraic structure (circular definition). A1: This "definition" does not take into account the multiplicity of subareas of algebra, mentioned...

adjective “algebraic” and the noun “algebra” have unrelated meanings. A similar situation happens for representation: algebra representation and algebraic representation...

a reference that says there is a field called "Derived noncommutative algebraic geometry". I cannot find one myself. But I found this [1] which has this...

this is NOT algebra, because there is not "1". And the algebra HAS (in respect to this wikipedia page: http://en.wikipedia.org/wiki/Algebra_%28ring_theory%29)...

Aren't Kac-Moody algebras more general than this? Phys 01:59, 21 Nov 2004 (UTC) I admit that it may be the case, but it still seems as a fine definition...

options for this page include redirecting to Algebraic geometry, disambiguating (but mainly to algebraic geometry?), and outright deletion. Mgnbar (talk)...

Hello fellow Wikipedians, I have just modified 3 external links on Algebraic code-excited linear prediction. Please take a moment to review my edit. If...

introduction is too specialized: it assumes considerable background in algebraic geometry. It is too technical for an introduction. G m {\displaystyle...

of which might be described as "an algebra". In other words, the article might begin "An X algebra is an algebraic structure satisfying the following...

deduce differentiation of formal power series. Differentiation of an algebraic equation (such as x2+y2 = r2) gives a differential equation (such as x·dx...

always be made into a Hopf algebra. There is a proof of this at why graded bi algebras have antipodes. Now, in the algebraic topology case that the bialgebra...

"Fundamental Theorem of Algebraic K-theory" is often used to descripe the additivity theorem (in that the other basic theorems - resolution, cofinality...

content of the article algebraic structure. The article about the branch of mathematics should not define and describe algebraic structures but present...

missing, like the algebraic unit being an order unit? Maybe "ordered algebra with unit e" is to be interpreted this way, i.e. e is algebraic and order unit...

article to remove the copyright infringements. The draft is at Talk:Noncommutative algebraic geometry/Temp. Ozob (talk) 21:16, 19 December 2009 (UTC)...

of the book of Oxley, the definition of the dependence relation of the Algebraic Matroid is introduced but it is not said anything about rank and flat...

relevant articles are already linked to in the text. Our coverage of C*-algebraic topics has a lot of room for growth. Mct mht (talk) 08:14, 10 September...

of an algebraic structure, a set closed under zero or more operations satisfying certain equations: idem, this is known from the article algebraic structures...

prime (algebraic number theory), as mathematical concepts are usually disambiguated by subbranch, unless there are multiple concepts in algebraic number...

December 2008 (UTC) I am confused. A term algebra is a "freely generated algebraic structure", and there is an algebraic structure that respects an axiom. Axioms...

doesn't make sense. But I do wonder if we need an algebra homomorphism article for a very general algebraic structure. Isn't it just a structure-preserving...

difference is the essence of FTA, and the algebraic numbers are not inherently "analytic objects". A proof for the algebraic complex numbers would be easy to extend...

(talk) 23:12, 12 August 2008 (UTC) For C*-algebras, projections are self-adjoint idempotents. For concrete C*-algebras, they correspond to orthogonal projections...

got mixed up in this. In the following definition of the multiparameter algebras the q_s are indeed elements of R so maybe one should remove the definition...

Boolean algebras canonically defined is exactly that: it is the translation into ordinary algebraic language of the Lawvere conception of an algebraic theory...

terminology "algebra of sets" come from? Is there any sort of interesting relationship between this theory and topos theory, another algebraic (or at least...

group. Ucucha 10:16, 12 January 2010 (UTC) Lie algebra representation → Representation of a Lie algebra — —Preceding unsigned comment added by Niout (talk...

confused with the field of algebraic numbers which is treated *here* --Little bishop (talk) 12:58, 25 September 2019 (UTC) In Algebraic_number_field#Ramification...

algebraic structures instead of algebraic systems. Algebaric structures can be defined without reference to algebra. The sentence could be: "Algebra is...

algebraic structures instead of algebraic systems. Algebaric structures can be defined without reference to algebra. The sentence could be: "Algebra is...

general, for every C*-algebra. that sentence about quotient algebras just seemed kinda funny: "The algebraic quotient of a C*-algebra by a closed proper...

article. It would be nice if someone could add information about other algebraic groups as well (for example weak approximation need not hold in elliptic...

commutative subring of R, so R is an algebra over its center." This gives the impression that every ring R is an algebra over every commutative subring, which...

Hi! I haven proven the Virasoro Algebra that arises in bosonic string theory. This is really a basic excercise but I got it wrong several times, so I...

the central object of study of one of the main fields of mathematics (algebraic number theory). Doetoe 00:08, 29 May 2007 (UTC) Indeed! Cyb3r (talk) 06:04...

essentially an algebraic construction. Indeed, the algebraic de Rham complex used in algebraic geometry relies on this purely algebraic definition (which...

generality, a major omission from the composition algebra article is the lack of any reference to algebraic K-theory.) So please just wait. There's no WP:DEADLINE...

Pontryagin duality to the class of all (not necessarily commutative) affine algebraic groups. Moreover, it gives birth to a common scheme that allows to construct...

Boolean algebra, intending the algebraic structure, it's a bad result if the link winds up at some general article that's not about the algebraic structure...

mention of the fact that MV algebras are term-wise equivalent to Wajsberg algebras, which provide the equivalent algebraic semantics for Lukasiewicz logic...

Comments: A Boolean algebra isn't a class of algebraic structure. It's an algebraic structure, or if you want to be more specific, an algebraic structure of...

appear supersymmetric—physicists and mathematicians have developed an algebraic method for describing the symmetries involved." This version allows me...

Polyadic algebras are an algebraic structure introduced by Paul Halmos. They are related to propositional calculus in a way analagous to the relationship...

(1973). Algebraic number fields. Pure and Applied Mathematics. Vol. 55. Academic Press. p. 142. Zbl 0307.12001. Neukirch, Jürgen (1999). Algebraic Number...

two-element Boolean algebra, and in particular how to reason and compute over algebraic expressions taking values in the two-element Boolean algebra. This is what...

Vector Wars) Coordinates vector dropped, because not actually a linear algebra topic, and largely superseded with Cartesian coordinate system and Affine...

the algebraic closure of every field, but only of a very specific field (a finite one), and in this particular case you can construct the algebraic closure...

guess that an appropriate algebraic definition for the (commutative) conditional expectation would be "If N is the algebra of all random variables considered...

between the two notions is that one is a partial algebraic structure and the present one is a total algebraic structure, I believe that the right name for...

The official title of the journal is Algebra & Number Theory, with an ampersand &. Algebra and Number Theory redirects here, just as Johnson and Johnson...

(talk) 09:49, 2 February 2018 (UTC) give an overview for constructing algebraic cobordism with examples to aid understanding do the construction with...

and algebraic analysis (at least from the universal algebra view - that lack of "niceness" means it falls outside of what standard abstract algebra provides...

Lie algebraic isomophisms) the symplectic Lie algebra as well. But does that really imply isomorphy of the whole infinite-dimensional Weyl algebra, seen...

an algebraic torus is not really a torus but the term "torus" helps one to have a helpful mental image and serves as a useful mnemonic; an algebraic torus...

integration. "The exterior algebra also has many desirable algebraic properties that make it a convenient tool in algebra itself. " -- words like desirable...

(linear algebra) does not exists. Thus I have edited the article to replace "operator" by "map" and I will move it to kernel (linear algebra) D.Lazard...

below were originally left at Talk:Radical of a Lie algebra/CommentsTalk:Radical of a Lie algebra/Comments, and are posted here for posterity. Following...

only about the comparison of algebraic and analytic geometry over the complex numbers. Similar GAGA results exist for algebraic and analytic geometry over...

There is a also en entry on Gap (the computer algebra system) here GAP_computer_algebra_system --user:Sander123...

Hochschield cohomology - https://www.uni-math.gwdg.de/mdehling/post/algebraic-structures-up-to-homotopy/ https://arxiv.org/abs/1312.4636 https://arxiv...

page is no doubt amusing but adds nothing to our understanding of the algebraic concept. G.W.Zinbiel (talk) 06:15, 19 June 2012 (UTC) The last reference...

(MSGJ · talk) 22:11, 1 November 2019 (UTC) Glossary of Lie algebras → Glossary of Lie groups and Lie algebras – In general, it is better to have a fewer glossaries...

{\displaystyle F} is the free functor for our algebraic category? Also, there is no article on (finitary) algebraic category, and this is pulled out of nowhere...

term irrational algebraic functions. --catslash (talk) 23:19, 4 August 2008 (UTC) Peirce B.O., Chap 3. is also called irrational algebraic functions --catslash...

understand many of these advanced principals of mathematics, such as algebraic topology, but no matter how many times I review the material, it doesn't...

originally left at Talk:Mapping cone (homological algebra)/CommentsTalk:Mapping cone (homological algebra)/Comments, and are posted here for posterity. Following...

{\displaystyle x^{2}+bxy+cy^{2}+dz^{2}=e} It's an algebraic curve according to Algebraic curve#Non-plane algebraic curves, it has degree 2, but it is not contained...

it belongs with Category theory in "Generalities", or maybe with Magma (algebra) in "Non-associative systems"? Gwideman (talk) 13:40, 9 December 2009 (UTC)...

see this is only true of the STA. In other geometric algebras, the two types of object have algebraic dimensionalities, so presumably are not placeable in...

article a bit and gave a good reference for history and algebraic study of Frobenius algebras. In particular, everything up to the categorical stuff is...

place/format to put it Flashcard version of the Wikipedia Glossary of algebraic topology in an Anki-readable format Darigov Research (talk) 20:11, 6 March...

Robert-Grassmannian algebra instead of Boolean algebra. Indeed, it is a closer fit to Boolean algebra than is Boole's algebraic system." Tijfo098 (talk)...

made for boyh Algebraic Entry and for RPN. ...infix and postfix. So it's like this: 1. Immediate Execution 2. Formula Entry ...2a) Algebraic Entry ...2b)...

Clifford algebra in purely algebraic terms, without any geometric discussion, did present the signature as part of the defining properties of each algebra. I...

spaces for the unitary groups and their Lie algebras. Even unital is superfluous. It suffices to use algebra with unit (element). — Preceding unsigned comment...

computer algebra systems. As far as I know, the full Risch algorithm (including algebraic extensions) is implemented only in Axiom (computer algebra system)...

multiplication given by the composition of mappings. "The results are phrased in algebraic terms, while the techniques are highly analytic. Although it is usually...

The lead sentence says "In database theory, relational algebra is a theory that uses algebraic structures with a well-founded semantics for modeling data...

articles. I note that the article unramified morphism covers both the algebraic case and geometric case of an unramified extension. -- Taku (talk) 00:38...

Redirected of this Quadratic algebra page to Quadratic polynomial was a mistake (speedy mouse click), although algebraic equations of quadratic forms...

article Normed division algebra, the foundation of this version. If these sources are content to state the theorem in algebraic generality, then so am...

definitions. William Lawvere [1963] introduced the notion of (finitary) algebraic theory as a category with (finite) products, whose equations are represented...

form: "The Dixon algebra is an algebraic structure that ...." Second, this draft doesn't explain why it is called the Dixon algebra, namely, that it has...

problem? We attach some geometric significance to elements of the algebra, and then algebraic operations on those elements correspond to geometric operations...

associative algebras? I would have expected a more general discussion of the preservation of a mapping that preserves a general algebraic structure before...

bing bing by the law of blob blink" and this would be a perfectly valid algebraic operation (assuming we have a handful of axioms in place to define "objects"...

section on the most general order/algebraic setting in which such inversions are defined, i.e., Incidence algebras. To support this move I'd point out...

indicates that geometric algebra uses both sense but, in contrast, "Clifford algebra" is usually reserved for the algebraic object only, and (so far as...

as subspaces. The geometric algebra allows carrying all operations of linear and multilinear algebra in a single algebraic structure (scalar product, exterior...

Series and Algebraic Combinatorics (FPSAC)". I have never seen it called "the International Conference on Formal Power Series and Algebraic Combinatorics";...

definition might be enough in some 'one-dimensional' contexts - algebraic number fields, algebraic curves. Things get a bit more serious ... The Soviet encyclopedia...

agreed upon whether an algebra should be associative or non-associative (e.g. the article Algebra (ring theory) takes all algebras to be associative while...

contains strictly less information about the algebraic structure. A more basic example is the exterior algebra over a vector space. (Well, this isn't a Lie...

What does CARE / DARE (See https://en.wikipedia.org/w/index.php?title=Algebraic_Riccati_equation&oldid=720123532) mean? --MartinThoma (talk) 11:50, 26...

Hilbert algebra is a "sort of von Neumann algebra". Hilbert algebras are never von Neumann algebras. Taking the commutative case, the von Neumann algebra is...

It might be helpful to explain how a "non-associative" algebra can satisfy commutativity (as is stated in the given definition). —Preceding unsigned comment...

the 19th century. Ernst Kummer, Kronecker, and Dedekind are 3 notable algebraic number theorists.. Kronecker - Theory of equations, Kronecker delta, Kronecker...

can not be encapsulated within geometric algebra. Perhaps geometric algebra is the preferred or natural algebraic approach for formulating mathematical physics...

full subcategory of the F-algebras over the given endofunctor, but I've never seen anyone use that fact or discuss algebraic structures in that language...

few general computer algebra systems out there anyway, so any non-trivial system which covers several areas of computer algebra is notable anyway. But...

algebraist i think isn't quite true that Banach algebras sometimes go by the name normed algebras. A normed algebra in this setting would not require completeness...

CCR algebra = complex Weyl algebra over a complex vector space, equipped with dagger operation, so it becomes a *-algebra. CAR algebra = complex Clifford...

Normed division algebra redirects to normed algebra but isn't mentioned there at all. Wikipedia used to have a page on normed division algebras, see here,...

I cut "The algebra is unital if and only if the original space is compact. Also, since every continuous function on a compact space is automatically bounded...

classical W-algebra since no W-algebras are mentioned in it. 109.172.129.12 (talk) 17:58, 25 January 2019 (UTC) It is my understanding that W-algebras are associative...

entries here does not relate to a branch of algebra? This seems to be more of an index page to the series on algebra, than a disambiguation page. But perhaps...

error to do the merge. The zero object (algebra) article requires the reader to understand the concept of algebraic structure first and then consider the...

I guess we need to move this page to Quadratic Lie algebra (without plural). How can this be done? MelchiorG (talk) 08:21, 7 February 2010 (UTC) Done...

renaming Timeline of Algebra into "Algebra Timeline. It should therefore be able to catch the attention of more that look at "Algebra." Would you recommend...

example, a&b, b&a are distinct formulas, the formulas do not form a Boolean Algebra. Perhaps the author had something else in mind? — Preceding unsigned comment...

associative algebras over a ring. Incnis Mrsi (talk) 21:19, 4 May 2019 (UTC) Supposed no objections in nearest hours, I rename the article to quotient algebra (universal...

I think that the first row of the table linking the algebraic properties for LPA's with properties of the graph is incorrect. There are many examples...

The article says "finite-dimensional central simple algebra", but I thought central simple algebras were finite-dimensional by definition... Joel Brennan...

space, is therefore incorrect. I suggest changing it to frame (linear algebra). 128.197.11.204 (talk) 16:36, 6 July 2015 (UTC) OK with me --KYN (talk)...

square root of q(z). Multiplicativity of q in these algebras explains (or relies upon) certain algebraic identities (see below). The squaring function is...

definitions in * algebra, B* algebra and C* algebra? Phys I agree, but how do you suggest removing the redundancy? I created the page *-algebra because I needed...

start a generalization of a Lie algebra article at Talk:Lie_algebra#Proposed_merge_of_Lie-isotopic_algebra_into_Lie_algebra. It seems that's the best compromise...

statement seems just to be a little confusing and useless. I am not an algebra pro though so I won't fuck with it. 71.227.186.180 (talk) 21:14, 27 June...

There is a separate page for associative algebras. This article should be merged with associative algebra or expanded to include the nonassociative types...

page, however, we will assume associativity". huh? Fields and associative algebras are both associative (in multiplication, which is what we're interested...

infinite-dimensional Lie algebra called a current algebra... these are Lie algebras consisting of smooth maps from a manifold into a finite dimensional Lie algebra.' First...

1982 (at the latest) the magazine was all-algebraic - and I'm pretty sure that by then the use of algebraic to record one's games was mandatory. When...

Hopf algebras, which, over C, are well known to be (canonically?) isomorphic to the polynomial algebras for algebraic groups. No polynomial algebra, however...

Symmetric tensors are elements of the tensor algebra, whereas the symmetric algebra is a quotient of the tensor algebra. There is a natural quotient mapping that...

average reader, otherwise this page would be best served in a specialist Algebraic Geometry wiki, textbook, or as a subsection of a different article page...

infinite-dimensional linear phenomena, if studied from a purely algebraic standpoint, are technically part of linear algebra.--Komponisto 21:36, 26 July 2006 (UTC) I think...

Boolean algebra is a Boolean algebra in which every subset has a supremum. Not sure which is best--complete rewrite, or redirect to Boolean algebra, where...

{A} } ) is a free algebra (of type ρ {\displaystyle \rho } ) on the set S {\displaystyle S} of free generators if, for every algebra B {\displaystyle \mathbf...

the audio article was so much clearer and more useful to me than the algebraic table, symbols, operations, and all those other wonderful mathematical...

seems to match the definition of m-convex B0-algebra which Springer says is the definition of Fréchet algebra used by "some authors". An expert is needed...

Boolean algebra may mean: Boolean algebra (logic), a logical calculus applying to truth values or sets Boolean algebra (structure), a type of algebraic structure...

is the best place for such materials. Lie algebras can be studied for their own sake; just as an algebraic structure. It is more economical to concentrate...

ring" here should really be "graded-commutative algebra". I do agree we need to distinguish Z-graded algebra and Z/2-graded ones, basically because Z is not...

bilinear maps work? AFAICT a bilinear map f:A×B → C should lift to an R-algebra homomorphism A⊗B → C iff f(aa', bb') = f(a,b) f(a',b'), but can someone...

generated by elements x and y that are transcendental over K and satisfy the algebraic relation y 2 = x 5 + 1 {\displaystyle y^{2}=x^{5}+1} ." seems hard to...

instance page 10 of "Introduction to Boolean algebras" by Paul Halmos) that in the definition of the algebra, $0$ and $1$ are distinct elements. Should...

"Enriques surfaces are all algebraic (and therefore Kähler)" confuses me because algebraic does not require projective and does not imply Kahler. 67.71...

this article from simple (algebra) to simple (abstract algebra), as the old title was too close in name to the simple algebra article, which was confusing...

Humphreys' Linear Algebraic Groups), but some common references like Reid do not use it. I've decided to go with the convention requiring algebraic closure due...

articles. I think the adjoint rep of a group and the adjoint rep of an algebra should be in the same article, along with the relationship between the...

does the article mean by "algebraic nature" - does it actually mean that the conjecture would prove that the numbers are algebraic? (I believe that it proves...

Hello fellow Wikipedians, I have just modified 2 external links on Lisp Algebraic Manipulator. Please take a moment to review my edit. If you have any questions...

an initial algebra is. So, maybe we can agree that the page should be understandable by people who do not yet know what an initial algebra is. It would...

(UTC) "Projective Geometric Algebra" is, it must be admitted, a more widely-used term/system than plane-based geometric algebra. But typing that into wikipedia...

understanding of the algebraic concept would vastly improve your presentation, even if aimed at people who don't want to know about the algebraic concept. The...

structure of Boolean algebra on that of Algebra, which has a hatnote to Algebra (disambiguation) and which explains in the lead that algebra splits up into...

understands this stuff better than me describe the relation here and on MV-algebra page? The seminal paper is doi:10.1016/0022-1236(86)90015-7 It has 500+...

supercommutative algebra (defined as Z2-graded): an anticommutative algebra is necessarily also Z2-graded and hence also a supercommutative algebra, but the converse...

The only reference given declares the associative product in a Poison algebra to be commutative.--345Kai (talk) 21:27, 14 April 2016 (UTC) Huh? Oh, I...

The page Algebra has a link to "sigma-algebra" which was marked as unwritten due to the hyphen. I've made that link point to this entry using the | but...

introduction to Boolean algebra combining minimal prerequisites with maximal clarity. In view of the many subtopics in Boolean algebra dealing with its models...

want to clarify an edit I made. I removed the statement that the disk algebra is a PID because I thought it was misleading without context. An alternative...

March 2007 (UTC) Ambiguity arising from infix notations are a bane of algebra and computer science. Polish prefix notation has not caught on, but there...

theoretical physics and pure algebra) along the methods Root systems and Dynkin diagrams known from classical Semisimple Lie algebras . The notion has been around...

Are cylindric algebras the same as complete Boolean algebras? No, a complete Boolean algebra is one that has arbitrary joins, while a cylindric alegbra...

I am a bit confused. If a B* algebra is a Banach *-algebra then how does (5) follow? Thanks. —Preceding unsigned comment added by 122.104.50.246 (talk)...

When he referred to them later, Cauchy spoke aptly of the Generality of algebra. If that is therefore somewhat akin to analyticity then the connection...

page is about a type of algebraic object. For algebraic operations on matrices see also Matrix (mathematics) and Linear algebra. I had to do it by hand...

February 2009 (UTC) "Enriques surfaces are all algebraic (and therefore Kähler)" confuses me because algebraic does not require projective and does not imply...

of epimorphisms and such for some hypothetical algebraic object? Since, as I want to stress, an algebraic object need not have an underlying set, the set-theoretic...

error: R,H,C,O are not the only normed real division algebras. In the article on division algebras, neither associativity, nor existence of an identity...

There should just be one proof, due to Gelfand, that uses Banach algebra, not C*-algebra, techniques, and a key step in the proof is identification of the...

toward defining algebra in his presentation of universal algebra. B. H. Neumann (1961-62) Special Topics in Algebra: Universal Algebra, page 23, Courant...

article talk page of Algebraic normal form to merge this article Zhegalkin polynomial and the article Reed–Muller expansion into Algebraic normal form, as...

request from Talk:Geometric algebra. It matches the following masks: Talk:Geometric algebra/Archive <#>, Talk:Geometric algebra. This page was last edited...

view of modern algebra. It very greatly helps to clarify certain problems in nomenclature. A link has been added from the word algebra to this outstanding...

Wikipedians, I have just modified 3 external links on Higher-dimensional algebra. Please take a moment to review my edit. If you have any questions, or...

request from Talk:Boolean algebra. It matches the following masks: Talk:Boolean algebra/Archive <#>, Talk:Boolean algebra. This page was last edited...

there is evidently an algebra called the Dirac algebra and this (which, I guess, is Cℓ4(C)) and this definition of the abstract algebra should not be lost...

relationship between this topic and Shuffle algebra? Deltahedron (talk) 06:47, 1 April 2014 (UTC) The algebra is denoted by *MPR* in the article but by...

A uniform algebra should have the sup norm. Does this follow from the fact that it is closed? If so, then possibly some redundancy should be removed from...

context is algebraic representation (strictly speacing the multiplicative group of a non-archimedean local field.is a topological group of algebraic nature...

As of 2023, the vast majority of the time someone says Hall algebra they mean something more general than for finite abelian groups. Usually it refers...

It is incorrect to say that this page is totally contained in the Lie algebra page. The reference to Borel subalgebra isn't there. The links to the basic...

stub. I know very little about these things, how does this relate to algebraic bracket (a redirect to Nijenhuis-Richardson bracket) and related structures...

...that satisfies conditions that, in algebraic geometry, describe non-singularity of a point on an algebraic curve. There are also many examples of...

The derivative algebra of a not-necessarily associative algebra A over a field F is defined as the subalgebra of the algebra of linear endomorphisms of...

than conjunctive and disjunctive normal forms. For example, there is algebraic normal form. — Olathe (talk) 20:45, 3 July 2013 (UTC) This article covers...

for "differential graded associative", as in "dga algebra", rather than for "differential graded algebra". See my comment at Massey product talk page. Katzmik...

isomorphic to the r×r matrix algebra over R." The tensor product of which objects? Secondly, a definition of Azumaya algebras over arbitrary commutative...

also {elog 2 = 2} is linearly independent set over the algebraic numbers (if a*2 = 0 for algebraic a, then a = 0.), yet 2 is not transcendental. I also...

extension which is algebraically closed" (and a bit later, the algebraic closure). So I understand that K need not be the algebraic closure of k. Hope...

and is not referred to in any way as "Graded algebra". The article does not even mention the term algebra. The concept is unrelated to that of this article...

called Filtered algebra and Graded ring, but not Filtered ring or Graded algebra? We should probably talk about filtered and graded algebras over a commutative...

efficient fully homomorphic encryption schemes using octonion algebras. Reference: Yongge Wang. Algebra and Noise-Free Fully Homomorphic Encryption (FHE) Schemes...

current version of simple algebra discusses the concept in universal algebra, of which both simple rings and simple algebras (in the sense of modules equipped...

which an arbitrary algebraic number may be chosen. The value of a∞ must not be algebraic, because asserting that it is algebraic leads to a contradiction...

Algebra Tiles, changing the subtracting of integer section and finishing with modifying the multiplication of integers. Additions for Virtual Algebra...

I have a strange feeling the citation at the bottom should be Lang's Algebraic Number Theory. I know of no book by him entitled "Analytic Number Theory...

on sub-sigma algebras of a single common sigma algebra, as it is not generally possible to define the join of two unrelated sigma algebras"? The set of...

say 'A unipotent algebraic group is one all of whose elements are unipotent' without saying what it means for an element of an algebraic group to be unipotent...

Lie algebras as the notion (and the classification) make sense over an arbitrary field. I have therefore moved the content to Draft:Simple Lie algebra, which...

just a sigma-algebra) or a measure space (a measure is given). Boris Tsirelson (talk) 21:42, 10 February 2012 (UTC) Note that any σ-algebra generated by...

As a matter of fact, a worrying fraction of the articles on algebraic geometry and algebraic topology seem to consist more of Grothendieck/Serre fanboyism...

someone who has a different algebraic bracket in mind can more readily insert their definition and disambiguate from algebraic bracket. Silly rabbit 15:45...

algebra was not complete before this point, ie., T δ σ = ( T δ ) σ . {\displaystyle T_{\delta \sigma }=(T_{\delta })_{\sigma }.\,} is not the algebra...

August 2009 (UTC) I agree, I think Algebraic Closure is too strong. It is true all eigenvalues (whether in the algebraic closure, or not) will be zero. But...

paragraph it says There is the celebrated Jans theorem that a finite group algebra A over a field of characteristic p is of finite representation type if...

algebraic properties. In particular, it uses "is defined" for one of several definitions, and is uses a definition that involves too much algebraic knowledge...

(UTC) I fixed a bug in the definition of the invariants module. For a Lie algebra g {\displaystyle {\mathfrak {g}}} , the invariants of a g {\displaystyle...

answers. The first bit was fine, until we got to how to get to the C* algebra from the B* one. Hope someone can clear this up! Thanks. IMHO, the current...

I believe the following is not true: "Given any class C of similar algebras, Jónsson's Lemma states that the subdirect irreducibles of the variety HSP(C)...

machinery on this definition of algebra than the regular definition of algebra, but this Lawverian conception of algebra is very powerful and admits a lot...

89–90) introduced an example of an infinite-dimensional Hopf algebra, and Sweedler's Hopf algebra H4 is a certain 4-dimensional quotient of it that is neither...

22:26, 23 December 2005 (UTC) I've linked to Degree of an algebraic variety, where algebraic closure is certainly used (and is mentioned there). Otherwise...

This article is really only about the group algebra. A group algebra has the structure of a Hopf algebra, but this probably doesn't deserve its own article...

and both-true-and-false are not comparable." It is claimed that this algebra has four values but five appear. It is claimed that two of these values...

generalization of this construction (also called the Rees algebra) that applies to any (associative) algebra with a (decreasing or increasing) filtration. (In...

definition isn't restricted to algebraic extensions. This is somewhat important since the conditions don't agree for non-algebraic extensions. For example,...

Charles Matthews 19:30, 16 Jul 2004 (UTC) "A generalized FFT for Clifford algebras" ([1] 2005, preprint [2] 2004) and references. The paper gives detailed...

look over glossary of algebraic geometry also. — Rgdboer (talk) 22:22, 31 March 2016 (UTC) As far as I can tell, this algebra is only of interest to...

separately. – robertsky (talk) 02:02, 23 March 2024 (UTC) N = 2 superconformal algebra → ? – From the title of this article it should discuss N=2 SCFT theories...

be merged with Associative algebra --wshun 12:07, 11 Oct 2004 (UTC) OK, how is that done? Do I include category 'Algebra'? Or should I use another title...

pre-algebra is a topic; that implies a logical unity that it doesn't have. Factorization is a topic, manipulation of equations is a topic; pre-algebra is...

I've added a little to this about the Pauli algebra. I'm stunned to see how little geometric algebra is on Wikipedia. I also added a link back to the article...

of positivity, in the context of Hilbert spaces, and algebraic groups. Unfortunately, "algebraic groups" are not then mentioned again in the text. What...

recent paper "Construction of exceptional Lie algebra G2 and non-associative algebras using Clifford algebra" by that same Wilmot. At the very least, the...

If K is not compact, then the algebra of bi-K-invariant continuous functions on G is not very meaningful as there aren't many bi-K-invariant compactly...

number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in R n , {\displaystyle...

objections? Pacman 2.0 (talk) The first line says that a braided Hopf algebra is a Hopf algebra in a braided monoidal category whereas the definition certainly...

in this article, and probably should be made more clear: is the Brauer algebra just a monoid (the monoid of pairings with the given associative binary...

2005 (UTC) The converse is true only if c is nonzero. Multiplying an algebraic equation by something that could be zero expands the solution set. B.Wind...

The redirect Differential algebraic variety has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines...

Adding an algebraic number is a finite field extension, but a transcendental one gives an infinite one. Is there a parallel for algebraic/transcendental...

doesn't make any sense. For example it gives the impression that a Robbins algebra only has the elements 0 and 1 although I'm sure that's not the intention...

modified one external link on International Symposium on Symbolic and Algebraic Computation. Please take a moment to review my edit. If you have any questions...

As far as I know, the term "moduli" entered physics from algebraic geometry, through string theory. So the way it is represented here is somewhat backwards...

does anyone think we should change "main article:prime place" to link to Algebraic_number_field#Archimedean_places rather than Prime_place since the latter...

abstract groups = all groups.) The first isomorphism theorem is a purely algebraic theorem that has noting to do with topology or smooth structures. If you...

Oy--we can look forward to moving this to characteristic (abstract algebra) Probably characteristic of a ring would be better. --Zundark, 2002 Jan 17...

propositions the use of truth tables to characterise elements of finite Boolean algebras. I think of a truth table as a device to define logical operators, i.e...

Shafarevich, Algebraic surfaces (original in Russian but a translation into English was published by AMS.) and Robin Hartshorne Algebraic Geometry In Ch...

the sense in algebraic geometry; i.e., the set of n-tuples of elements in the base field. To clarify, I have started affine space (algebraic geometry)....

fundamental tool in algebraic geometry, and are, in particular (but not only) the basis of Elimination theory and of Cylindrical algebraic decomposition. D...

(UTC) All parities of symmetry and also full classification of Clifford Algebras follow from three initial isomorphisms C ℓ p , q ( R ) ⊗ H ≅ C ℓ q , p...

criteria, not just for algebraic spaces. This means representability of moduli functors as stacks, etc. Versal deformations and algebraic stacks - Representability...

that it's assumed if you're on the Nilpotent Lie Algebra page, you have some experience with Lie algebras - and g l k {\displaystyle {\mathfrak {gl}}_{k}}...

symplectic geometry, following Artin (Geometric Algebra) and several other authors with an algebraic leaning. Perhaps the term "polar space" has gained...

algebra over a field is called separable if its extension by any finite purely inseparable extension is reduced". The definition at Separable algebra...

Phys gave of affine Lie algebra, which today only exists in the page's history, is not unrelated. The affine Kac-Moody algebra described on the page is...

Comparison of vector algebra and geometric algebra. Readers should observe that "geometric algebra" is not a branch of mathematics, but algebraic geometry is....

number is not a root of any polynomial with algebraic coefficients" Replacing Integer and rational with algebraic would have the added advantage of succinctness...

dual spaces. It will need some reconciliation with the rest of the linear algebra pages. Charles Matthews 07:01, 8 Oct 2004 (UTC) Oh, just for the record...

reductive linear algebraic group G over an algebraically closed field) comes from an irreducible representation of the bigger algebraic group G then the...

we need a multiplication on our co-algebra, making this really a notion about bi-algebras rather than co-algebras, right? --130.83.2.27 (talk) 12:21,...

two or three "real" text references. Searching googlebooks for "mutation algebra" does look like it yields enough good hits. If I have some time to burn...

(UTC) A transcendental extension is just one that is not algebraic, and we already have algebraic extension. I think this is much like the "flammable" and...

normally writes the signature of an algebra? 26 Sep 2004 Why did someone add the word "fake" to the end of the Heyting algebras section? Some gripe against intuitionistic...

analytic kernels versus algebraic kernels. Should the other algebraic kernel articles redirect to sections of the one true algebraic kernel, or to their associated...

of algebraic equation. Algebraic equation currently redirects to Algebraic Geometry, which also isn't very helpful because it talks about Algebraic equations...

another definition of integral closure in algebraic number theory. And in algebraic geometry/commutative algebra. I am adding that one. The definition for...

algebraic definition includes the curves obtained as the intersection of the torus with the plane z=ic as well as z=c. In other words the algebraic definition...

Vector Algebra very interesting topic.. — Preceding unsigned comment added by 117.226.181.240 (talk) 14:16, 18 August 2011 (UTC) This article seems to...

Add algebraic stacks as an example, demonstrating how ringed topoi put algebraic stacks and schemes on the same technical footing...

them in an algebraic setting. They may not even be familiar with category theory let alone colimits. In fact, understanding the algebraic definition of...

them sets? The two books I have on linear algebra, Linear Algebra Done Right by Axler, and Linear Algebra by Shilov, use sequences or sequence-like notation...

shouldn't it be said anything about non-algebraic separable extensions? and we seem to be missing any mention of separability degree... Dmharvey 00:40...

development of the theory of C*-algebras since it established the possibility of considering a C*-algebra as an abstract algebraic entity without reference to...

of classical algebraic geometry. In classical algebraic geometry, the function field is defined as follows. Let V be an (affine) algebraic variety defined...

(UTC) Surely these Group extension Virasoro algebra Witt algebra Semidirect product Maybe these Heisenberg algebra Conformal field theory Maybe some of universal...

do you have any reference for the classification of Abelian von Neumann algebras that you mention in the article? Is it in Dixmier? --Cedric —Preceding...

of Lie algebras article. It would be better to have parallel articles for Lie groups and Lie algebras. For one thing, there is a purely algebraic theory...

result, true for C*-algebras, was not true in general for B*-algebras. However B*-algebras are in fact the same thing as C*-algebras according to Wikipedia...

counted according to their algebraic multiplicity, because its characteristic polynomial has degree n. An eigenvalue of algebraic multiplicity 1 is called...

of semisimple Lie groups Margulis defines S-arithmetic subgroups for algebraic subgroups of GL(N) over number fields. He defines arithmetic subgroups...

namely Linear Algebra and Geometry by Bloom, Topics in Matrix Analysis by Horn and Johnson, Linear Algebra by Friedberg et al., Linear Algebra by Satiste...

which have introduced generations of physicists to this GL(N) basis, and algebra. (Discrete) Quantum Mechanics around the clock is an over-ripe subject...

net/questions/11774/difference-between-equivalence-relations-on-algebraic-cycles), the definition of algebraic equivalence is not correct. --79.90.132.229 (talk) 16:05...

discussion. The result of the move request was: page moved to Period (algebraic geometry). (closed by non-admin page mover) GeoffreyT2000 (talk) 18:11...

to redirect to Algebra over a field#Non-associative algebras but that seemed odd compared to the more obvious Non-associative algebra, which is even the...

from Algebraic Geometry. Coffeebrake60 (talk) —Preceding undated comment added 08:34, 8 February 2014 (UTC) x Possibly. What concept from algebraic geometry...

mention of a vector space and a homomorphism from the algebra being represented to the algebra of endomorphisms of the vector space. I hope someone knowledgeable...

every separated algebraic variety (over an arbitrary field) is an open dense subset of a proper (or complete in the old terminology) algebraic variety. This...

notes Algebraic Groups and Arithmetic Groups available here [1] for example). Milne says take a field k and let K be a degree 2 separable k-algebra, then...

only one who for whom that article put her on the must-read map. "The Algebra of Infinite Justice" appeared first in the British newspaper, The Guardian...

(talk) 02:27, 6 March 2012 (UTC) How is "semi-algebraic" entry mentioned in the article different from algebraic infix notation? Bubba73 You talkin' to me...

the background given by the following wikipedia articles: Paravectors Algebra of physical space I seriously question the need for writing a whole article...

phrase is "the beginning of algebraic geometry", not "algebraic geometry". If Rashed had meant to say "thus inaugurating algebraic geometry", presumably that's...

notion are used in algebraic geometry under the name of "irreducible space". But since the discussion itself is more general than algebraic geometry, it makes...

could be improved There is an analogous object in the theory of linear algebraic groups, the character group L = Hom ( H , k × ) {\displaystyle L={\text{Hom}}(H...

Similarly, the title of this article can be distinguished from Geometric algebra. — Rgdboer (talk) 02:33, 14 February 2018 (UTC) The terms dilation and...

Intersection theory (mathematics) describe the intersection theory of algebraic cycles in algebraic geometry. Jakob.scholbach 19:40, 2 October 2007 (UTC)...

field of an algebraic variety or even Function field (scheme theory). Anyway this article should probably focus on divisors in algebraic varieties, and...

other objects throughout mathematics have real forms, algebraic varieties and associative algebras being the most common examples. As 76.66.203.178 pointed...

Linear Algebra. Retrieved 2021-05-24. "Editorial Team". Electronic Journal of Linear Algebra. Retrieved 2022-03-07. "Electronic Journal of Linear Algebra"....

Jim Bowery (talk) 15:59, 24 July 2014 (UTC) They're not an associative algebra. Double sharp (talk) 15:31, 14 November 2015 (UTC) Is it possible someone...

defined with respect to irreducible algebraic sets? Or are we using the term "variety" to more loosely refer to algebraic sets which may or may not be irreducible...

form and a split real form), their Lie algebras g 2 , {\displaystyle {\mathfrak {g}}_{2},} as well as some algebraic groups." I doubt that many people will...

≠ 0, a is algebraic and b is irrational algebraic if a = 1 (algebraic and non-zero) , then ab is 1 for all b including irrational algebraic b. This is...

then moved it to Tropical semiring (linking to Tropical semiring#max-plus algebra) in Old revision of Tropical geometry and Old revision of Tropical semiring...

algebra at the time referred to in the article, but an article New algebra should not exist unless there is a recognised use of the term "New algebra"...

cohomology, higher chow groups, and higher algebraic K-theory, this shows Milnor K-theory is part of higher algebraic K-theory Wundzer (talk) 17:15, 22 January...

In mathematics, the exterior algebra (or Grassmann algebra) of a vector space V {\displaystyle V} is an associative algebra that contains V {\displaystyle...

among the most studied objects in algebraic geometry and indispensable tools for research on other topics in algebraic geometry and number theory. It seems...

conjunction was written as algebraic multiplication and disjunction as addition, and PQ+R meant, as in standard algebra, (PQ)+R. This is probably the...

to condense the material on Quadruple product and merge it into Vector algebra relations. Apocheir (talk) 00:56, 23 August 2023 (UTC)   Y Merge completed...

was never created for merging Example of a non-associative algebra into Non-associative algebra. I see no reason why it shouldn't be merged, but we should...

special points in an algebraic variety was much of the same science. Modern algebraic geometry instead is mostly about algebraic equations, not about...

compatible. Tangentially, he also covers (p.605) the connection of TL algebras to parenthesis structures, which seems like another valuable connection...

two polynomials" (64L) is certainly more complete and less gnomic than "Algebraic functional decomposition" (34L), but short descriptions are supposed to...

sales rank). There are quite a few relatively obscure introductory linear algebra texts, and these have been purposefully excluded from the main list. Jim...

the invention of the complex numbers. Complex numbers exist because of algebraic closure. Anyway, if we were willing to set aside rigor in the opening...

partly results from a three years old merge of Substitution (algebra)Substitution (algebra), done by Michael Hardy. IMO, this merge was erroneous. It appears...

2016 (UTC) Groupoids in algebraic $k$-schemes, hence in dual form, commutative Hopf $k$-algebroids were used in 1960s in algebraic geometry and Ravenel's...

relevant facts in algebraic topology. The more general reader may prefer to see an insight of the induced homomorphism in an 'algebraic topology' point...

moving the current Boolean algebra to something like Boolean algebra (mathematical structure) or Boolean algebra (algebraic structure). Of course that...

general, and then only in algebraic geometry. I don't understand this distinction; to me, the theorem is really about algebraic geometry. --Bernard Helmstetter...

both algebraic and topological duals. My observations are as follows: The first section fares quite alright as an encyclopaedia article on algebraic duals...

irreducible"). These are sufficient to get all algebraic numbers, and each of them corresponds to at most one algebraic number, viz. its root (if in ℝ). In this...

disambiguation thing out when I redid the GA page, then it mentioned algebraic geometry as a possible confusion...heh!Selfstudier (talk) 00:21, 8 February...

definition is "a morphism of algebraic groups that is surjective and has a finite kernel," which seems to be couched in an algebraic geometry context. Encyclopedia...

Volume form Algebra of scalars Exterior calculus split off differentiable manifold to its own article Resolved empty manifold: disallow algebraic variety:...

(talk) 17:18, 17 August 2021 (UTC) This article is not for specialists of algebraic geometry or topology. It is for people desiring learning on Zariski topology...

updated his list of free linear algebra software, so clearly this page should be useful: Dongarra's list of Linear Algebra software hosted at Netlib. Lavaka...

and other “algebraic” objects such as loop space in topology (the loop space should be an “algebra” but in a tricky way: it is an algebra over/for a particular...

section. I think it's probably better to move this to regular sequence (algebra), now; and then redirect regular sequence to that. Charles Matthews 08:17...

at last, it was my lot to plant the harpoon of algebraic topology into the body of the whale of algebraic geometry. Lefschetz is here referring to his work...

this be a page on its own? I think this would fit nicely if combined with Algebra. --Derfboy (talk) 17:45, 14 May 2012 (UTC) No, thanks. Tijfo098 (talk)...

categorical definition in an exercise); Algebra by Lang; A Basic Course in Algebraic Topology by Massey; and Basic Algebra I by Jacobson. All I can say is that...

associated Hopf algebras over any ring. Reference is Group Hopf algebra. More generally, an affine (say linear) group over a base (in algebraic geometry) is...

representations of a quasitriangular Hopf algebra is braided. (Quasitriangular Hopf algebras are also called braided Hopf algebras for this reason.) —Preceding unsigned...

the algebra U and not matrix powers." I do not understand what kind of "powers" this refers to, since the only powers that I know of in a Lie algebra are...

operations like the curl and gradient. The article Vector algebra relations involves only algebraic relations like the dot and cross products, and no calculus...

description to something short and appropriate like "Mathematical formula" or "Algebraic equation" etc it shouldn't be a summary of the article or the lead, just...

algebraic-only, and does not have RPN. The previous change comment, quoting the 38G manual, actually refers to the Ans function, which many algebraic...

"representations of G (as an algebraic group)"? AxelBoldt (talk) 05:37, 11 April 2024 (UTC) The point here is about non-algebraic representations. There are...

requires that a Scott domain be omega-algebraic. This definition may be a little dated, but anyway... In turn, omega-algebraic requires that the set of finite...

programs that use the term: K&S, and Clifford algebras. Maybe algebraic properties of the respective algebras are better discussed in the topic pages? Thanks...

that all Puiseux series of positive radius of convergence. Surely the algebraic closure contains many series that don't converge?--345Kai (talk) 04:51...

Is there any reason to distinguish this from higher-dimensional algebra? If so, it should certainly be noted. Anyway, this article should be deleted for...

sure that the input's antiderivative, if exist, can be written using algebraic functions). Probably it's a good idea to give samples with answers "no"...

terms do not mean the same thing. "Base change" is an expression used in algebraic geometry and the theory of automorphic representations (and possibly used...

for A ∞ {\displaystyle A_{\infty }} and L ∞ {\displaystyle L_{\infty }} algebras. — Preceding unsigned comment added by 63.253.110.78 (talk) 00:46, 7 August...

"In algebraic topology, the cup product is a far-reaching algebraic generalization of the linking number, with the Massey products being the algebraic analogs...

still use more work, such as: Description of post-1990 extensions to map algebra A section focusing on cartographic modeling (see also Suitability analysis...

Sławomir Biały version of the section, and to rename section "Algebraic proofs" as "Algebraic explanations". D.Lazard (talk) 13:30, 21 July 2017 (UTC) Thank...

proper changes, so that the article really explains what the Colombeau algebra is. Best regards [email protected] —Preceding unsigned comment added by 83...

with dimensional analysis, but at least some familiarity with the common algebraic symbols for SI units, and there is enough overlap to create some confusion;...

retained, with understanding that the algebraic elements described are not in a division algebra but a split algebra, one with a null vector. Thank you for...

were in Kuppusamy Ravindran's PhD thesis: On a Structure Theory of Effect Algebras. PhD thesis, Kansas State University, 1996. The article seems to ignore...

up to Stub class. BetacommandBot 09:47, 10 November 2007 (UTC) cuntz....algebra? —Preceding unsigned comment added by 74.102.163.189 (talk) 19:09, 26 November...

possibilities include Algebraic structure - however, there, the table risks becoming bloated by a complete taxonomy of all algebraic structures. That may...

so say that the meaning of the definition depends if the context is 'algebraic group theory' or 'group theory'. But I don't understand the material enough...

Schenck is an American mathematician, known for his work in algebraic geometry and commutative algebra. He holds the Rosemary Kopel Brown Eminent Scholars Chair...

elements of this large coset/ideal -- that they are these rather explicit algebraic objects, with concrete constructions, and not some airy-fairy magic numbers...

to a wiki book, please ensure that there is a reference to this in the article on Geometric Algebra. DecBrennan (talk) 10:31, 27 February 2019 (UTC)...

primary algebra (chapter 6), an algebraic structure that is a provocative and economical notation for the two-element Boolean algebra..." "an algebraic structure...

any non-algebraically closed field. In fact, already the weak Nullstellensatz for univariate polynomials implies that the field is algebraically closed:...

If this is indeed a fundamental item of study in modern algebraic geometry then I see no reason why it cannot be merged into the article suggested. --Skamecrazy123...

with the model theoretic notions, except in very special cases. Algebraic closure in algebra is an important special case of one of the model theoretic notions...

(UTC) A differential is not required in the definition of a Gerstenhaber algebra. — Preceding unsigned comment added by 46.114.129.14 (talk) 14:23, 1 June...

a regular function in the sense of algebraic geometry is an everywhere-defined, polynomial function on an algebraic variety V with values in the field...

December 2007 (UTC) It fails even the basic precondition of being an algebraic extension. -- EJ (talk) 16:46, 7 December 2007 (UTC) True - I hadn't noticed...

at 09:43, 15 May 2007 (UTC). Substituted at 01:53, 5 May 2016 (UTC) "Algebraic vector bundle" redirects here. BTotaro (talk) 17:24, 20 May 2016 (UTC)...

Category:algebraic integers which does not exist. I wonder, should one create such a category, or just put this article in Category:Algebraic number theory...

addition, subtraction, multiplication, and division, as well as additional algebraic operations such as factorisation on polynomials and rational expressions...

appears to be a mistake, namely the claim that there's just one Albert algebra over the real numbers. John Baez (talk) 08:25, 27 November 2010 (UTC) Thanks;...

Should the section on algebraic de Rham cohomology rather be moved to de Rham cohomology? Jakob.scholbach 04:07, 27 March 2007 (UTC) Definitely not! There...

inverse is a morphism of the same type. In the algebraic setting (at least within the context of universal algebra) this extra condition is automatically satisfied...

their analogue in a more general, purely algebraic description of quantum mechanics (Bohm cites G. Emch, Algebraic Methods in Statistical Mechanics and Quantum...

interesting remark here: https://differentialgeometri.wordpress.com/2020/12/12/algebraic-geometry-and-its-plot-to-take-over-the-analytic-world/ "As I hope was...

section on algebraic groups (factoring into subgroups), since then we could do: (1) matrices, (2) linear operators on fin. dim. and algebraic groups, (3)...

strictly speaking, it is not an algebraic operation (even if can be studied using the methods of abstract algebra). Daniele.tampieri (talk) 16:21, 31...

others to implement: https://en.wikipedia.org/w/index.php?title=Band_(algebra)&diff=prev&oldid=1056377984 Including an example normal band that is not...

list all its other classifications (including Clifford, Lie), its algebraic properties. Then, we could actually leave the individual pages for...

page 10, Lang's Undergraduate Algebra page 84, Rotman's An Introduction to Homological Algebra page 12, Hartshorne's Algebraic Geometry, etc. RobHar (talk)...

Hazelmaye (talk) 12:38, 27 July 2009 (UTC) In his seminal work "Basic Algebra", Nathan Jacobson dedicates a chapter to Rngs. He attributes the term to...

could mean both, the 1 of a unital algebra, and any unit of an algebra, seen as a ring (and, also, the algebraic notion of neutral element for multiplication)...

2012 (UTC) "...makes an abstract algebraic object concrete by describing its elements by matrices and the algebraic operations in terms of matrix addition...

(UTC) I get the word projector for this from the book Numerical Linear Algebra by Lloyd N. Trefethen and David Bau, ISBN 0-89871-361-7. Here it is used...

connected with actual groups, namely algebraic groups. In fact one can use quantum groups to attack problems in algebraic group theory; there is a famous proof...

algebraic formalism"? A.K.Nole (talk) 18:31, 25 June 2009 (UTC) No. The algebraic formalism in its current state involves rooted trees, Hopf algebras...

{\displaystyle V} , while the "algebraic dual cone" is defined as a subset of the covector space V ∗ , {\displaystyle V^{*},} but the algebraic dual cone is described...

theory vs. algebraic extension (or equivalently with field extension, which i think is a redundant article, and should be merged with algebraic extension))...

article used to be called cone (geometry). It has been renamed cone (linear algebra), and some of its contents has been moved to the new article convex cone...

units of measurement in an algebraic format does not, or should not, imply that units are variables subject to algebraic manipulation. Some of the SI’s...

projective complex algebraic variety, every Hodge cycle in a space Hp,p is a rational linear combination of classes of algebraic cycles of codimension...

I would like this page to be removed or rewritten. Beurling algebra is the very common for weigthed ℓ w 1 ( Z ) {\displaystyle \ell _{w}^{1}(\mathbb {Z}...

link to algebraic chess notation, and I don't think it says that S is used for knight. So I'm wondering if we should keep to the strict algebraic notation...

corresponds to this one, in order to give those who know the basics of Algebraic Number Theory a complete description of the main theorems of Global Class...

they mean an Algebraic variety significantly more than Variety (universal algebra). On that note, there are many many types of algebraic varieties: Severi...

probably a place to ask that question (the article is more about the dimension theory in algebra not in physics). -- Taku (talk) 06:19, 7 April 2025 (UTC)...

subcategories of groups or algebras. I think it is not a good general rule. Colin McLarty (talk) 00:51, 11 January 2015 (UTC) For any algebraic theory T, the category...

sympathy for this feeling. Indeed, a (binary) operation defined in an algebraic system regularly associates an element of the system with each pair of...

in notation between articles. Either the many other articles on Boolean algebra should switch to the + . notation, or this one should switch to the ∧ ∨...

The underlying abstract algebraic structure being used is unclear and should be stated. In particular, is it spacetime algebra with i being the unit pseudoscalar...

latter was implicitly designed for applications in class field theory and algebraic number theory, as a group theoretic translation of the class extension...

MATTLAS (Matt's Linear Algebra Subroutines) is a high performance BLAS implementation. I am using this BLAS (Basic Linear Algebra Subroutines) implementation...

The redirect Algebras, Groups and Geometries has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines...

Marhahs 13:51, 27 September 2006 (UTC) Title / author[s] Fundamental Algebraic Geometry: Grothendieck's FGA Explained By Barbara Fantechi et al URL https://books...

article. Wouldn't algebraic expression be a more straightforward target in analogy with rational fraction redirecting to algebraic fraction? Isheden (talk)...

20:32, 20 November 2017 (UTC) My knowledge of algebraic geometry is tiny, but it is usu. done over algebraically closed thus infinite fields, isn't it? So...

thought of the "algebraic part" of completion (a non-trivial result!), a reference should be given. One such reference is: M. Artin, Algebraic approximation...

I think the referenced page algebraic data type is a more standard definition than the one shown on this page. At the very least, someone should add a...

December 2013 (UTC) There is a lot of implicit mention of algebraic geometric concepts such as algebraic curves. To my knowledge analytic geometry is simply...

actually represents the starting point of the creation of a truly algebraic "algebraic topology" even if it, as a concept, first appears in combinatorics...

general form of an element of the ring of algebraic integers is? Or else, how about expressing the ring of algebraic integers as Z[α] for an explicit complex...

"encyclopaedic". Hv (talk) 01:52, 19 January 2008 (UTC) The book does not provide algebraic and geometric solutions to the 6 types of equation. It gives a numerical...

unclear is "the basic part in algebraic topology by analogy with homology theory". Homology theory is of course part of algebraic topology. So: What is this...

you view a groupoid as an algebraic structure, a group with partially defined group law, then you want to ask many algebraic questions, and you need to...