groupoid

English

Etymology

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:

     [...] 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. [...]

Derived terms

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

Translations

a magma

Japanese: 亜群 (ja) (あぐん, agun) Spanish: grupoide m

a set with a partial binary operation...

French: groupoïde m German: Gruppoid n Italian: gruppoide m Portuguese: grupoide m Spanish: grupoide m

Further reading

• groupoid on Wikipedia.Wikipedia