Theorems · Definition · category theory

CategoryTheory.CatCenter.localizationRingHom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (L : CategoryTheory.Functor C D) →
          (W : CategoryTheory.MorphismProperty C) →
            [L.IsLocalization W] →
              [inst_3 : CategoryTheory.Preadditive C] →
                [inst_4 : CategoryTheory.Preadditive D] →
                  [L.Additive] → CategoryTheory.CatCenter C →+* CategoryTheory.CatCenter D

The morphism of rings CatCenter C →+* CatCenter D when L : C ⥤ D is an additive localization functor between preadditive categories.

Defined in

Mathlib.CategoryTheory.Center.Localization

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalizationCategoryTheory.PreadditiveCategoryTheory.PreadditiveCategoryTheory.Functor.Additive