Theorems · Definition · ring theory

AddMonoidAlgebra.mapDomainRingEquiv

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

Isomorphic monoids have isomorphic additive monoid algebras.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

8 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidAddMonoid