Theorems · Definition · commutative algebra

PolynomialModule.polynomialTensorProductLEquivPolynomialModule

(R : Type u_1) →
  (M : Type u_2) →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → TensorProduct R (Polynomial R) M ≃ₗ[Polynomial R] PolynomialModule R M

The R[X]-linear equivalence (R[X] ⊗[R] M) ≃ₗ[R[X]] (PolynomialModule R M).

Defined in

Mathlib.Algebra.Polynomial.Module.TensorProduct

Cited by

0 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule