Theorems · Definition · ring theory

AddMonoidAlgebra.commRingEquiv

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

Nested additive monoid algebras can be taken in an arbitrary order.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

4 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidAddMonoid