Theorems · Definition · category theory

CategoryTheory.Abelian.FreydMitchell.EmbeddingRing

(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Abelian C] → Type (max u v)

Given an abelian category C, this is a ring such that there is a full, faithful and exact embedding C ⥤ ModuleCat (EmbeddingRing C). It is probably not a good idea to unfold this.

Defined in

Mathlib.CategoryTheory.Abelian.FreydMitchell

Cited by

1 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian