Dictionary

groupoid en · NOUN

Pronunciation

• /ˈɡɹuːpɔɪd/
• (US) audio

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 Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ειδής (-eidḗs) Latin -oīdēslbor. English -oid English groupoid From group + -oid.

Meanings

1. A magma: a set with a total binary operation.
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. [...] 2013, Julia Goedecke, Category Theory:

Forms

Deriveds

hypergroupoid · loopoid · zroupoid · subgroupoid · groupoidal · Lie groupoid · pregroupoid

Translations (9)

pl grupoid (a set with a partial binary operation...) · ja 亜群 (a magma) · es grupoide (a magma) · pt grupoide (a set with a partial binary operation...) · it gruppoide (a set with a partial binary operation...) · pl grupoid (a magma) · fr groupoïde (a set with a partial binary operation...) · es grupoide (a set with a partial binary operation...) · de Gruppoid (a set with a partial binary operation...)