Theorems · Definition · commutative algebra

TensorProduct.tmul

(R : Type u_1) →
  [inst : CommSemiring R] →
    {M : Type u_7} →
      {N : Type u_8} →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : AddCommMonoid N] → [inst_3 : Module R M] → [inst_4 : Module R N] → M → N → TensorProduct R M N

The canonical function M → N → M ⊗ N. The localized notations are m ⊗ₜ n and m ⊗ₜ[R] n, accessed by open scoped TensorProduct.

Defined in

Mathlib.LinearAlgebra.TensorProduct.Defs

Cited by

1,182 results in Mathlib

Foundations

Depth 40 from the axioms, rests on 489 definitions · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModule