Theorems · Definition · ring theory

AddMonoidAlgebra.toMultiplicativeAlgEquiv

(R : Type u_1) →
  (A : Type u_4) →
    (M : Type u_7) →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : AddMonoid M] → AddMonoidAlgebra A M ≃ₐ[R] MonoidAlgebra A (Multiplicative M)

The algebra equivalence between AddMonoidAlgebra and MonoidAlgebra in terms of Multiplicative.

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

4 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddMonoid