Theorems · Definition · commutative algebra

MvPolynomial.algebraTensorAlgEquiv

(R : Type u) →
  [inst : CommSemiring R] →
    {σ : Type u_1} →
      (A : Type u_4) →
        [inst_1 : CommSemiring A] → [inst_2 : Algebra R A] → TensorProduct R A (MvPolynomial σ R) ≃ₐ[A] MvPolynomial σ A

Tensoring MvPolynomial σ R on the left by an R-algebra A is algebraically equivalent to MvPolynomial σ A.

Defined in

Mathlib.RingTheory.TensorProduct.MvPolynomial

Cited by

12 results in Mathlib

Foundations

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

Assumes

CommSemiringCommSemiringAlgebra