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Epimorphism
UK
/ˌɛpɪˈmɔːfɪzəm/
US
/ˌɛpɪˈmɔrfɪzəm/
Translation of "epimorphism" into Russian
epimorphism
Noun
UK
/ˌɛpɪˈmɔːfɪzəm/
US
/ˌɛpɪˈmɔrfɪzəm/
epimorphism
epimorphisms pl
In algebra, an epimorphism is a homomorphism that is surjective.
В алгебре эпиморфизм — это гомоморфизм, который является сюръективным.
Definitions
epimorphism
Noun
UK
/ˌɛpɪˈmɔːfɪzəm/
US
/ˌɛpɪˈmɔrfɪzəm/
In mathematics, specifically in category theory, an epimorphism is a morphism that is right-cancellable, meaning that if two morphisms composed with it are equal, then those two morphisms are equal.
In the category of sets, a function is an epimorphism if it is surjective.
(Algebra, historical) A homomorphism that is surjective, i.e., maps onto its codomain.
The natural projection from the ring ℤ onto the quotient ring ℤ⁄6ℤ is an epimorphism.