Theorems · Definition · category theory

PresheafOfModules.pushforward

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          {R : CategoryTheory.Functor Dᵒᵖ RingCat} →
            {S : CategoryTheory.Functor Cᵒᵖ RingCat} →
              (S ⟶ F.op.comp R) → CategoryTheory.Functor (PresheafOfModules R) (PresheafOfModules S)

The pushforward functor PresheafOfModules R ⥤ PresheafOfModules S induced by a morphism of presheaves of rings S ⟶ F.op ⋙ R.

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward

Cited by

16 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category