Theorems · Definition · ring theory

AddMonoidAlgebra.mapDomainNonUnitalRingHom

(R : Type u_3) →
  {M : Type u_6} →
    {N : Type u_7} →
      [inst : Semiring R] →
        [inst_1 : Add M] → [inst_2 : Add N] → (M →ₙ+ N) → AddMonoidAlgebra R M →ₙ+* AddMonoidAlgebra R N

If f : G → H is a multiplicative homomorphism between two additive monoids, then AddMonoidAlgebra.mapDomain f is a ring homomorphism between their additive monoid algebras.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

4 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddAdd