Theorems · Definition · ring theory

AddMonoidAlgebra.toMultiplicativeBialgEquiv

(R : Type u_1) →
  (A : Type u_3) →
    (M : Type u_8) →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Bialgebra R A] →
            [inst_3 : AddMonoid M] → AddMonoidAlgebra A M ≃ₐc[R] MonoidAlgebra A (Multiplicative M)

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

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

3 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringBialgebraAddMonoid