groupoid

English

Etymology

group +‎ -oid

Noun

groupoid (plural groupoids)

  1. (algebra) A magma: a set with a total binary operation.
  2. (algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses.
    • 2013, Julia Goedecke, Category Theory‎:
      [...] 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. [...]

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