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category theory > morphism > endomorphism
algebra > abstract algebra > morphism > endomorphism

Terme préférentiel

endomorphism  

Définition

  • In mathematics, an endomorphism is a morphism from a mathematical object to itself. An endomorphism that is also an isomorphism is an automorphism. For example, an endomorphism of a vector space V is a linear map f : V → V, and an endomorphism of a group G is a group homomorphism f : G → G. In general, we can talk about endomorphisms in any category. In the category of sets, endomorphisms are functions from a set S to itself.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Endomorphism)

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