Theorems · Definition · ring theory

MonoidAlgebra.tensorEquiv

(R : Type u_1) →
  {M : Type u_2} →
    {N : Type u_3} →
      [inst : CommSemiring R] → TensorProduct R (MonoidAlgebra R M) (MonoidAlgebra R N) ≃ₗ[R] MonoidAlgebra R (M × N)

The tensor product of two monoid algebras is the monoid algebra of their product.

Defined in

Mathlib.RingTheory.TensorProduct.MonoidAlgebra

Cited by

14 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiring