Theorems · Definition · linear algebra

TensorProduct.AlgebraTensorModule.mk

(R : Type uR) →
  [inst : CommSemiring R] →
    (A : Type u_1) →
      (M : Type u_2) →
        (N : Type u_3) →
          [inst_1 : Semiring A] →
            [inst_2 : AddCommMonoid M] →
              [inst_3 : Module R M] →
                [inst_4 : Module A M] →
                  [inst_5 : SMulCommClass R A M] →
                    [inst_6 : AddCommMonoid N] → [inst_7 : Module R N] → M →ₗ[A] N →ₗ[R] TensorProduct R M N

Heterobasic version of TensorProduct.mk: The canonical bilinear map M →[A] N →[R] M ⊗[R] N.

Defined in

Mathlib.LinearAlgebra.TensorProduct.Tower

Cited by

10 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAddCommMonoidModuleModuleSMulCommClassAddCommMonoidModule