Theorems · Definition · ring theory

MonoidAlgebra.mapDomainAddEquiv

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

Equivalent monoids have additively isomorphic monoid algebras. MonoidAlgebra.mapDomain as an AddEquiv.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

8 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringMulMul