Theorems · Definition · ring theory

TensorAlgebra.ofDirectSum

{R : Type u_1} →
  {M : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] → (DirectSum ℕ fun n => TensorPower R n M) →ₐ[R] TensorAlgebra R M

The canonical map from a direct sum of tensor powers to the tensor algebra.

Defined in

Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower

Cited by

6 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule