# nLab pre-additive category

### Context

#### Additive and abelian categories

additive and abelian categories

## Derived categories

#### Homological algebra

homological algebra

and

nonabelian homological algebra

diagram chasing

# Preadditive categories

## Definition

A pre-additive category is an Ab-enriched category with a zero object.

Pre-additive categories are part of a sequence of additive and abelian categories.

## Terminology

The term ‘pre-additive category’ is often used for any $Ab$-enriched category, for example in section 8 of Kashiwara–Schapira Categories and Sheaves, in Weibel’s An introduction to homological algebra and Popescu’s Abelian categories with applications to rings and modules.

Revised on March 7, 2014 08:45:03 by Zoran Škoda (161.53.130.104)