Theorems · Definition · ring theory

MonoidAlgebra.mapAlgHom

{R : Type u_1} →
  {A : Type u_4} →
    {B : Type u_5} →
      (M : Type u_7) →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Semiring B] →
              [inst_3 : Algebra R A] →
                [inst_4 : Algebra R B] → [inst_5 : Monoid M] → (A →ₐ[R] B) → MonoidAlgebra A M →ₐ[R] MonoidAlgebra B M

The algebra homomorphism of monoid algebras induced by a homomorphism of the base algebras.

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

13 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraMonoid