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Groupoid vs Gyrogroup - What's the difference?

groupoid | gyrogroup |

As nouns the difference between groupoid and gyrogroup

is that groupoid is (algebra) a magma: a set with a total binary operation while gyrogroup is (mathematics) a groupoid whose binary operation satisfies certain axioms, used with gyrovectors.

groupoid

English

Noun

(en noun)
  • (algebra) A magma: a set with a total binary operation.
  • (algebra, and, category theory) 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.

    External links

    * (wikipedia "groupoid")

    gyrogroup

    English

    Noun

    (en noun) (wikipedia gyrogroup)
  • (mathematics) A groupoid whose binary operation satisfies certain axioms, used with gyrovectors.