ENGLISH DICTIONARY

Groupoid

Definition, Meaning & Examples

Pronunciation /ˈɡɹuːpɔɪd/ · Part of speech noun

Quick meaning: Groupoid is a noun meaning (algebra) A magma: a set with a total binary operation.

Meaning

(algebra) A magma: a set with a total binary operation.

More Meanings

  1. (algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses.

Example Sentences

[...] 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. [...]

Word Forms

Related Words

Related dictionary entries include magma, subgroupoid, group, hypergroupoid, loopoid, semigroupoid.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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