Theorems · Definition · commutative algebra

PolynomialModule.equivPolynomial

{R : Type u_2} →
  [inst : CommRing R] →
    {S : Type u_6} → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → PolynomialModule R S ≃ₗ[R] Polynomial S

PolynomialModule R S is isomorphic to S[X] as an R module.

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

6 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra