Theorems · Definition · ring theory

AddMonoidAlgebra.mapDomainAddEquiv

(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 → AddMonoidAlgebra R M ≃+ AddMonoidAlgebra R N

Equivalent additive monoids have additively isomorphic additive monoid algebras. AddMonoidAlgebra.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

SemiringAddAdd