nLab quasi-abelian category

Contents

Context

Enriched category theory

Additive and abelian categories

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Schanuel's lemma

Homology theories

Theorems

Contents

Definition

A quasi-abelian category is an additive category admitting the kernels and the cokernels which satisfies the following conditions:

(i) the strict epimorphisms are stable by base changes,

(ii) the strict monomorphisms are stable by co-base changes

This is definition 2.1.1 in (Kashiwara).

Examples

References

Last revised on April 7, 2023 at 20:55:08. See the history of this page for a list of all contributions to it.