Theorems · Definition · category theory
CategoryTheory.Linear.toCatCenter
(R : Type w) →
[inst : Ring R] →
(C : Type u) →
[inst_1 : CategoryTheory.Category.{v, u} C] →
[inst_2 : CategoryTheory.Preadditive C] → [CategoryTheory.Linear R C] → R →+* CategoryTheory.CatCenter CThe canonical morphism R →+* CatCenter C when C is an R-linear category.
- Defined in
- Mathlib.CategoryTheory.Center.Linear
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Linearstatement and proof · cited by 131
- CategoryTheory.CatCenterstatement · cited by 53
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.linearproof · cited by 1
- CategoryTheory.Linear.toCatCenter_apply_appstatement and proof · cited by 1
- CategoryTheory.Localization.functor_linearproof · cited by 0