Theorems · Theorem · ring theory

MonoidAlgebra.rTensorEquiv_tmulAlgEquiv

∀ {R : Type u_1} {M : Type u_2} {S : Type u_4} {A : Type u_5} {B : Type u_6} [inst : CommSemiring R]
  [inst_1 : CommSemiring S] [inst_2 : CommSemiring A] [inst_3 : CommSemiring B] [inst_4 : Algebra R S]
  [inst_5 : Algebra R A] [inst_6 : Algebra R B] [inst_7 : Algebra S A] [inst_8 : IsScalarTower R S A]
  [inst_9 : CommMonoid M] (a : A) (p : MonoidAlgebra B M),
  (MonoidAlgebra.rTensorEquivAlgEquiv R S A B) (a ⊗ₜ[R] p) =
    a • (MonoidAlgebra.mapAlgHom M Algebra.TensorProduct.includeRight) p

Defined in

Mathlib.RingTheory.TensorProduct.MonoidAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringCommSemiringAlgebraAlgebraAlgebraAlgebraIsScalarTowerCommMonoid