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Homomorphism vs Monomorphism - What's the difference?

homomorphism | monomorphism |

In biology terms the difference between homomorphism and monomorphism

is that homomorphism is a similar appearance of two unrelated organisms or structures while monomorphism is the absence of sexual dimorphism.

As nouns the difference between homomorphism and monomorphism

is that homomorphism is a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces while monomorphism is an injective homomorphism.

homomorphism

English

Noun

(en noun)
  • (algebra) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.
  • A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
  • (biology) A similar appearance of two unrelated organisms or structures
  • monomorphism

    English

    Noun

    (wikipedia monomorphism) (en noun)
  • (mathematics) an injective homomorphism
  • (biology) the absence of sexual dimorphism
  • (category theory) A morphism n'' such that for any other morphisms ''f'' and ''g'', if n \circ f = n \circ g then ''f'' = ''g .
  • Abbreviations

    * (in category theory) mono

    Hyponyms

    * (in category theory) bimorphism ⊃ isomorphism