groupoid

G2R1O1U1P3O1I1D2
/ˈɡɹuːpɔɪd/

noun

A magma: a set with a total binary operation.

OriginAncient Greek εἶδος (eîdos) ← Proto-Hellenic *wéidos ← Proto-Indo-European *wéydos →
UncommonScrabble 12
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Meanings

noungroupoid (plural groupoids)

plural groupoids

  1. algebraA magma: a set with a total binary operation.
  2. algebraA 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

Origin

  1. Proto-Indo-European*grewbʰ-
  2. Proto-Germanic*kruppaz
  3. Frankish*krupp
  4. Vulgar Latin*cruppus
  5. Italiangruppo
  6. Frenchgroupe
  7. Italiangruppo
  8. Englishgroup
  9. Proto-Indo-European*weyd-
  10. Proto-Indo-European*wéydos
  11. Proto-Hellenic*wéidos
  12. Ancient Greekεἶδος (eîdos)
  13. Englishgroupoid

From group + -oid.

Full word history & related roots →

Translations

French groupoïde
  • groupoïdea set with a partial binary operation...
German Gruppoid
  • Gruppoida set with a partial binary operation...
Italian gruppoide
  • gruppoidea set with a partial binary operation...
Japanese 亜群
  • 亜群 (agun)a magma
Polish grupoid, grupoid
  • grupoida magma
  • grupoida set with a partial binary operation...
Portuguese grupoide
  • grupoidea set with a partial binary operation...
Spanish grupoide, grupoide
  • grupoidea magma
  • grupoidea set with a partial binary operation...
Cite this entry
APA

groupoid. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/groupoid

MLA

“groupoid.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/groupoid. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “groupoid,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/groupoid.

Source: groupoid on Wiktionary, CC BY-SA 4.0.