Before anyone moves this to "partial magma": there are maybe two books that call it that. Partial groupoid is the most common of the synonyms in Google Books (i
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Before anyone moves this to "partial magma": there are maybe two books that call it that. Partial groupoid is the most common of the synonyms in Google Books (including the other ones listed in the article right now). JMP EAX (talk) 09:29, 26 August 2014 (UTC)
The other pages on group-like structures (group (mathematics), semigroup, monoid, groupoid, magma (algebra)) all have the following table:
| Total | Associative | Identity | Divisible | |
|---|---|---|---|---|
| Partial magma | Unneeded | Unneeded | Unneeded | Unneeded |
| Semigroupoid | Unneeded | Required | Unneeded | Unneeded |
| Small category | Unneeded | Required | Required | Unneeded |
| Groupoid | Unneeded | Required | Required | Required |
| Magma | Required | Unneeded | Unneeded | Unneeded |
| Quasigroup | Required | Unneeded | Unneeded | Required |
| Unital magma | Required | Unneeded | Required | Unneeded |
| Loop | Required | Unneeded | Required | Required |
| Semigroup | Required | Required | Unneeded | Unneeded |
| Associative quasigroup | Required | Required | Unneeded | Required |
| Monoid | Required | Required | Required | Unneeded |
| Group | Required | Required | Required | Required |
How can we add "partial groupoid" (or maybe "partial magma") to this table?
Thatsme314 (talk) 16:31, 1 April 2023 (UTC)
Not every partial semigroup is a semigroupoid 2A0D:6FC2:5101:1B00:A53B:DD0E:2F2D:D055 (talk) 11:09, 26 December 2023 (UTC)
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