Theorems · Definition · linear algebra

dualTensorHom

(R : Type u_2) →
  (M : Type u_3) →
    (N : Type u_4) →
      [inst : CommSemiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : AddCommMonoid N] →
            [inst_3 : Module R M] → [inst_4 : Module R N] → TensorProduct R (Module.Dual R M) N →ₗ[R] M →ₗ[R] N

The natural map associating a linear map to the tensor product of two modules.

Defined in

Mathlib.LinearAlgebra.Contraction

Cited by

38 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModule