Theorems · Definition · ring theory
AlgHom.toLinearMap
{R : Type u} →
{A : Type v} →
{B : Type w} →
[inst : CommSemiring R] →
[inst_1 : Semiring A] →
[inst_2 : Semiring B] → [inst_3 : Algebra R A] → [inst_4 : Algebra R B] → (A →ₐ[R] B) → A →ₗ[R] BR-Alg ⥤ R-Mod
- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 254 results in Mathlib
- Foundations
- Depth 23 from the axioms, rests on 200 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- AlgHomstatement and proof · cited by 3,236
Cited by324
Results whose statement or proof uses this declaration.
- CliffordAlgebra.ιproof · cited by 142
- Algebra.TensorProduct.mapproof · cited by 97
- Algebra.traceproof · cited by 90
- ContinuousLinearMap.lsmulproof · cited by 66
- CliffordAlgebra.reverseproof · cited by 50
- Algebra.TensorProduct.liftproof · cited by 46
- Algebra.traceFormproof · cited by 33
- TensorProduct.AlgebraTensorModule.ridproof · cited by 28
- Algebra.TensorProduct.extproof · cited by 26
- FractionalIdeal.mapproof · cited by 20
- CliffordAlgebra.foldrproof · cited by 18
- CliffordAlgebra.hom_extstatement and proof · cited by 17
Showing the 200 most cited of 324.