Groupoid

//ˈɡɹuːpɔɪd// noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A magma: a set with a total binary operation.
  2. 2
    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. [...]"

Example

More examples

"[...] 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. [...]"

Etymology

From group + -oid.

Related phrases

Lie groupoid

More for "groupoid"

SynonymsSentencesPronunciationTranslate

Next best steps

Find stronger synonymsSee usage examplesCheck pronunciationBrowse writing guides

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.