Theorems · Definition · commutative algebra

PolynomialModule.coeffLinearEquiv

(R : Type u_2) →
  {M : Type u_3} →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] →
          (S : Type u_5) → [inst_3 : CommSemiring S] → [inst_4 : Module S M] → PolynomialModule R M ≃ₗ[S] ℕ →₀ M

PolynomialModule.coeff as a linear equiv.

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

5 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleCommSemiringModule