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en

Monofunctor

UK
/ˌmɒnəˈfʌŋktə/
US
/ˌmɑːnəˈfʌŋktər/
ru

Translation monofunctor into russian

monofunctor
Noun
raiting
UK
/ˌmɒnəˈfʌŋktə/
US
/ˌmɑːnəˈfʌŋktər/
In category theory, a monofunctor is a functor that is injective on objects.
В теории категорий монофунктор — это функтор, который инъективен на объектах.

Definitions

monofunctor
Noun
raiting
UK
/ˌmɒnəˈfʌŋktə/
US
/ˌmɑːnəˈfʌŋktər/
In category theory, a monofunctor is a functor that is injective on hom-sets, meaning it maps distinct morphisms to distinct morphisms.
The monofunctor preserves the structure of the category by ensuring that no two distinct morphisms are mapped to the same morphism.