Talk:Partial groupoid
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partial groupoid vs partial magma
[edit]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)
Table of group-like structures
[edit]The other pages on group-like structures (group (mathematics), semigroup, monoid, groupoid, magma (algebra)) all have the following table:
Total | Associative | Identity | Cancellation | Commutative | |
---|---|---|---|---|---|
Partial magma | Unneeded | Unneeded | Unneeded | Unneeded | Unneeded |
Semigroupoid | Unneeded | Required | Unneeded | Unneeded | Unneeded |
Small category | Unneeded | Required | Required | Unneeded | Unneeded |
Groupoid | Unneeded | Required | Required | Required | Unneeded |
Commutative Groupoid | Unneeded | Required | Required | Required | Required |
Magma | Required | Unneeded | Unneeded | Unneeded | Unneeded |
Commutative magma | Required | Unneeded | Unneeded | Unneeded | Required |
Quasigroup | Required | Unneeded | Unneeded | Required | Unneeded |
Commutative quasigroup | Required | Unneeded | Unneeded | Required | Required |
Unital magma | Required | Unneeded | Required | Unneeded | Unneeded |
Commutative unital magma | Required | Unneeded | Required | Unneeded | Required |
Loop | Required | Unneeded | Required | Required | Unneeded |
Commutative loop | Required | Unneeded | Required | Required | Required |
Semigroup | Required | Required | Unneeded | Unneeded | Unneeded |
Commutative semigroup | Required | Required | Unneeded | Unneeded | Required |
Associative quasigroup | Required | Required | Unneeded | Required | Unneeded |
Commutative-and-associative quasigroup | Required | Required | Unneeded | Required | Required |
Monoid | Required | Required | Required | Unneeded | Unneeded |
Commutative monoid | Required | Required | Required | Unneeded | Required |
Group | Required | Required | Required | Required | Unneeded |
Abelian group | Required | 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)
- By adding a new row at Template:Group-like structures; done. Thatsme314 (talk) 16:44, 1 April 2023 (UTC)
Partial semigroup vs semigroupoid
[edit]Not every partial semigroup is a semigroupoid 2A0D:6FC2:5101:1B00:A53B:DD0E:2F2D:D055 (talk) 11:09, 26 December 2023 (UTC)