Theorems · Theorem · ring theory

AddMonoidAlgebra.scalarTensorEquiv_tmul

∀ {R : Type u_1} {M : Type u_2} {A : Type u_5} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : Algebra R A]
  [inst_3 : AddCommMonoid M] (a : A) (p : AddMonoidAlgebra R M),
  (AddMonoidAlgebra.scalarTensorEquiv R A) (a ⊗ₜ[R] p) = a • (AddMonoidAlgebra.mapAlgHom M (Algebra.ofId R A)) p

Defined in

Mathlib.RingTheory.TensorProduct.MonoidAlgebra

Cited by

8 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraAddCommMonoid