Talk:Finitely generated projective module

This page appears as being a redundant content fork of Projective module. In fact there are too few results which are specific to finitely generated projective

Content fork

Latest comment: 14 years ago5 comments3 people in discussion

This page appears as being a redundant content fork of Projective module. In fact there are too few results which are specific to finitely generated projective modules for needing a separate page. Thus this page should be merged into Projective module. D.Lazard (talk) 10:49, 27 May 2012 (UTC)Reply

I disagree. Two topics, projective module and f-gen proj, are really not the same. The former can concentrate on the generality of a projective module, while the latter the case when there is finiteness condition. As I understand, the theory becomes quite different whether a proj module is f-gen or not. (countably gen. case should probably be discussed in countably generated module.) The main motivation for me to start this page was that Bourbaki devotes a whole section. To me, this was enough to justify a standalone article. Right now, the article is quite short, but obviously that cannot be a reason for merger. The category of f-gen proj (and K_0 in algbraic K-theory) is also an important topic and it deserves a thorought treatment. This could be done more easily if we had separate articles. -- Taku (talk) 12:23, 27 May 2012 (UTC)Reply
Clearly the two topics are not the same, but one is a subtopic of the other. Moreover, most readers looking for some information on projective modules consider, in reality, only the finitely generated ones. Thus having two articles may be confusing. Also, there is few material that is specific to finitely generated proj. modules and does not deserve to appear in projective module. Thus it is much better to put such a content in a section named "finitely generated projective module" of Projective module. Following WP:split, a split will be useful only when this section will be larger than the remainder of the article. For these reasons and without any valuable argument against the merge, I'll merge the two articles. D.Lazard (talk) 13:23, 30 May 2012 (UTC)Reply
Anything interesting about finite generation itself is well taken care of by the finitely-generated module article. So, I support this merge, also. Rschwieb (talk) 13:59, 30 May 2012 (UTC)Reply
(edit conflict) If you insist, I'm not going to undo the merger. I had my reasons, but if you disagree, that's fine. We can discuss again if/when a split becomes necessary. -- Taku (talk) 14:03, 30 May 2012 (UTC)Reply

Content Disclaimer

Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.

  1. The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
  2. There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
  3. It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
  4. Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.