Theorems · Definition · ring theory
Module.End.lTensorAlgHom
(R : Type u_1) →
(M : Type u_2) →
(N : Type u_3) →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] →
[inst_2 : Module R M] →
[inst_3 : AddCommMonoid N] → [inst_4 : Module R N] → Module.End R M →ₐ[R] Module.End R (TensorProduct R N M)The map LinearMap.lTensorHom which sends f ↦ 1 ⊗ f as a morphism of algebras.
- Defined in
- Mathlib.RingTheory.TensorProduct.Maps
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- TensorProductstatement · cited by 2,545
- Module.Endstatement · cited by 774
- AlgHom.ofLinearMapproof · cited by 11
- LinearMap.lTensor_idproof · cited by 8
- LinearMap.lTensorHomproof · cited by 6
- LinearMap.lTensor_mulproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- Module.End.lTensorAlgHom_apply_applystatement and proof · cited by 0
- Module.End.exp_mul_of_derivationproof · cited by 0