Theorems · Definition · category theory

SheafOfModules.sectionsMap

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {R : CategoryTheory.Sheaf J RingCat} → {M N : SheafOfModules R} → (M ⟶ N) → M.sections → N.sections

The map M.sections → N.sections induced by a morphism M ⟶ N of sheaves of modules.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf

Cited by

12 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category