groupoid

noun — 2 senses

groupoid

noun

/ˈɡɹuːpɔɪd/

Etymology From group + -oid.

1

Algebra, Mathematics, Sciences A magma: a set with a total binary operation.

2

Algebra, Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences A set with a partial binary operation that is associative and has identities and inverses.

  • [...] A category in which every morphism is an isomorphism is called a groupoid. This means that a group is a groupoid with only one object. [...]2013, Julia Goedecke, Category Theory:
Derived terms
groupoidal, hypergroupoid, Lie groupoid, loopoid, pregroupoid, subgroupoid, zroupoid

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.