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Theorems · Definition · category theory

CategoryTheory.Linear.ofRingMorphism

{R : Type w} →
  [inst : Ring R] →
    {C : Type u} →
      [inst_1 : CategoryTheory.Category.{v, u} C] →
        [inst_2 : CategoryTheory.Preadditive C] → (R →+* CategoryTheory.CatCenter C) → CategoryTheory.Linear R C

The R-linear structure on a preadditive category C equipped with a ring morphism R →+* CatCenter C.

Defined in
Mathlib.CategoryTheory.Center.Linear
Cited by
0 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingCategoryTheory.CategoryCategoryTheory.Preadditive
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Localization.linear · cited by 1Localization.linearCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorRingHom · cited by 10189RingHomRing · cited by 7463RingCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCategoryTheory.Linear · cited by 131CategoryTheory.LinearCategoryTheory.CatCenter · cited by 53CategoryTheory.CatCenterLinear.ofRingMorphismCITED BYCITES

Cites9

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Cited by1

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