nLab
pre-additive category

Context

Additive and abelian categories

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

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 AbAb-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)