Theorems · Definition · ring theory

MonoidAlgebra.mapAddEquiv

{R : Type u_3} →
  {S : Type u_4} →
    (M : Type u_6) →
      [inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : Mul M] → R ≃+ S → MonoidAlgebra R M ≃+ MonoidAlgebra S M

Additively isomorphic rings have additively isomorphic monoid algebras. MonoidAlgebra.map as an AddEquiv.

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

12 results in Mathlib

Foundations

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

Assumes

SemiringSemiringMul