Theorems · Definition · ring theory

AddMonoidAlgebra.mapDomainBialgHom

(R : Type u_1) →
  {M : Type u_8} →
    {N : Type u_9} →
      [inst : CommSemiring R] →
        [inst_1 : AddMonoid M] → [inst_2 : AddMonoid N] → (M →+ N) → AddMonoidAlgebra R M →ₐc[R] AddMonoidAlgebra R N

If f : M → N is an additive monoid hom, then MonoidAlgebra.mapDomain f is a bialgebra hom between their additive monoid algebras.

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

10 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddMonoidAddMonoid