Theorems · Definition · ring theory

Module.Basis.symmetricAlgebra

{κ : Type uκ} →
  {R : Type uR} →
    {M : Type uM} →
      [inst : CommSemiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] → Module.Basis κ R M → Module.Basis (κ →₀ ℕ) R (SymmetricAlgebra R M)

A basis on M can be lifted to a basis on SymmetricAlgebra R M.

Defined in

Mathlib.LinearAlgebra.SymmetricAlgebra.Basis

Cited by

1 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule