different between monomorphism vs epimorphism

monomorphism

English

Noun

monomorphism (plural monomorphisms)

  1. (mathematics) an injective homomorphism
  2. (biology) the absence of sexual dimorphism
  3. (category theory) A morphism n such that for any other morphisms f and g, if n ? f = n ? g {\displaystyle n\circ f=n\circ g} then f = g.
    Hyponyms: equalizer, bimorphism, isomorphism, split monomorphism, global element

Synonyms

  • (in category theory): mono

Related terms

  • (in category theory): epimorphism, isomorphism, monic

Translations

monomorphism From the web:

  • what is monomorphism in biology
  • what is monomorphism in algebra
  • what is monomorphism and polymorphism
  • what is monomorphism in abstract algebra
  • what does monomorphism mean
  • what is monomorphism and epimorphism
  • what's up with monomorphism
  • monomorphism definition


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 ? p = g ? p {\displaystyle f\circ p=g\circ p} , then f = g.

Synonyms

  • epi

Hyponyms

  • bimorphism | split epimorphism
    • isomorphism
  • coequalizer

Related terms

  • epic
  • isomorphism
  • monomorphism

Derived terms

  • epimorphic

Translations

epimorphism From the web:

  • what is epimorphism in category theory
  • what is natural epimorphism
  • what is category theory
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