nLab abelian subcategory

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

diagram chasing

Contents

Definition

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

References

Section 1.2 of

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