nLab
abelian subcategory

Context

Notions of subcategory

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Contents

Definition

For 𝒜\mathcal{A} an abelian category an abelian subcategory is a subcategory 𝒜\mathcal{B} \to \mathcal{A} such that B\mathbf{B} is also abelian and such that every exact sequence in \mathcal{B} is also exact in 𝒜\mathcal{A}.

References

Section 1.2 of

Created on August 24, 2012 14:03:55 by Urs Schreiber (82.113.106.22)