epimorphism

English

Etymology

epi- +‎ morphism

Noun

epimorphism (plural epimorphisms)

1. (category theory) A morphism p such that for any other pair of morphisms f and g, if $f\circ p=g\circ p$, then f = g.

Synonyms

• epi

Hyponyms

• bimorphism | split epimorphism
  • isomorphism
• coequalizer

Derived terms

• epimorphic

Related terms

• epic
• isomorphism
• monomorphism

Translations

mathematics: map f such that whenever g composed with f equals h composed with f, then g=h

• German: Epimorphismus m
• Icelandic: ámótun f
• Russian: эпиморфизм (ru) m (epimorfizm)