Theorems · Definition · ring theory
Algebra.TensorProduct.commRight
(R : Type uR) →
(S : Type uS) →
(A : Type uA) →
[inst : CommSemiring R] →
[inst_1 : CommSemiring S] →
[inst_2 : Algebra R S] →
[inst_3 : Semiring A] → [inst_4 : Algebra R A] → TensorProduct R S A ≃ₐ[S] TensorProduct R A SS-linear version of Algebra.TensorProduct.comm when A ⊗[R] S
is viewed as an S-algebra via the right component.
- Defined in
- Mathlib.RingTheory.TensorProduct.Maps
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- TensorProductstatement and proof · cited by 2,545
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.toEquivproof · cited by 65
- Algebra.TensorProduct.commproof · cited by 38
- Algebra.TensorProduct.rightAlgebrastatement · cited by 27
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.TensorProduct.commRight_symm_tmulstatement · cited by 1
- Algebra.TensorProduct.Algebra.TensorProduct.commRight_symm_tmulstatement · cited by 0
- Algebra.TensorProduct.commRight_tmulstatement · cited by 0
- Ideal.Fiber.algEquivQuotientproof · cited by 0