What does groupoid mean?

Definitions for groupoid

This dictionary definitions page includes all the possible meanings, example usage and translations of the word groupoid.

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  1. groupoidnoun

    A magma: a set with a total binary operation.

  2. groupoidnoun

    A set with a partial binary operation that is associative and has inverses and identities.

    A groupoid is a category in which every morphism is an isomorphism.


  1. Groupoid

    In mathematics, especially in category theory and homotopy theory, a groupoid generalises the notion of group in several equivalent ways. A groupoid can be seen as a: ⁕Group with a partial function replacing the binary operation; ⁕Category in which every morphism is invertible. A category of this sort can be viewed as augmented with a unary operation, called inverse by analogy with group theory. ⁕Oriented graph Special cases include: ⁕Setoids, that is: sets that come with an equivalence relation; ⁕G-sets, sets equipped with an action of a group G. Groupoids are often used to reason about geometrical objects such as manifolds. Heinrich Brandt introduced groupoids implicitly via Brandt semigroups.

How to pronounce groupoid?

How to say groupoid in sign language?


  1. Chaldean Numerology

    The numerical value of groupoid in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of groupoid in Pythagorean Numerology is: 6

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"groupoid." Definitions.net. STANDS4 LLC, 2023. Web. 23 Mar. 2023. <https://www.definitions.net/definition/groupoid>.

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