Counit

/ˈkaʊnɪt/

Перевод слова "counit" на Русский язык

Существительное

/ˈkaʊnɪt/

counit

counits множ.

коединица

In category theory, a counit is a natural transformation from the identity functor to a functor.

В теории категорий коединица — это естественное преобразование от тождественного функтора к другому функтору.

Существительное

/ˈkaʊnɪt/

In category theory, a counit is a natural transformation from the composition of a functor and its adjoint to the identity functor.

The counit of the adjunction provides a way to map from the composition of the functor and its adjoint back to the original category.

In coalgebra and Hopf algebra theory, a counit is a morphism from a coalgebra to its base field that satisfies the counit axioms.

For any coalgebra C, the counit ε: C → k is required to satisfy (ε ⊗ id) ∘ Δ = id = (id ⊗ ε) ∘ Δ.

Прилагательное

/ˈkaʊnɪt/

Relating to, involving, or serving as a counit.

The counit morphism is commonly denoted by the Greek letter epsilon.