groupoid

groupoid

English

Etymology

Etymology tree
Proto-Indo-European *grewbʰ-der.
Proto-Germanic *kruppazder.
Frankish *kruppbor.
Vulgar Latin *cruppus
Italian gruppobor.
French groupebor.
▲
Italian gruppobor.
English group
Ancient Greek -ο- (-o-)der.
Latin -o-
Proto-Indo-European *weyd-
Proto-Indo-European *-os
Proto-Indo-European *wéydos
Proto-Hellenic *wéidos
Ancient Greek εἶδος (eîdos)
Proto-Indo-European *-os
Proto-Indo-European *-ēs
Ancient Greek -ης (-ēs)
Ancient Greek -ειδής (-eidḗs)
Latin -oīdēslbor.
English -oid
English groupoid

    From group + -oid.

    Pronunciation

    • IPA(key): /ˈɡɹuːpɔɪd/
    • Audio (US):(file)

    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[1]:
        [...] 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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