# nLab abelian subcategory

### Context

#### Homological algebra

homological algebra

Introduction

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

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