Talk:Partial groupoid

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)[reply]

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:

Group-like structures
	Closure	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
Associative quasigroup	Required	Required	Unneeded	Required	Unneeded
Commutative-and-associative quasigroup	Required	Required	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
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)[reply]

By adding a new row at Template:Group-like structures; done. Thatsme314 (talk) 16:44, 1 April 2023 (UTC)[reply]

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)[reply]