counitAlgHom — Mathlib

English

A Bialgebra structure on A over R can be built from counit and comultiplication data satisfying coherent identities.

Русский

Из данных о counit и comul можно построить структуру Bialgebra на A над R, удовлетворяющую необходимым свойствам.

LaTeX

$$$\text{Bialgebra.mk' }(R, A) \text{ exists such that }\text{counit},\text{comul\; satisfy compatibilities}$$$

Lean4

/-- `counitAlgHom R A` is the counit of the `R`-bialgebra `A`, as an `R`-algebra map. -/
@[simps!]
def counitAlgHom : A →ₐ[R] R :=
  .ofLinearMap counit counit_one counit_mul

Похожие утверждения