nLab
quasi-abelian category

Context

Enriched category theory

Background

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Basic concepts

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Universal constructions

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Extra stuff, structure, property

  • ing (tensoring), ing (cotensoring)

Homotopical enrichment

Additive and abelian categories

Context and background

Categories

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  • (AB1)

  • (AB2)

  • (AB5)

Functors

  • left/right

Derived categories

Homological algebra

(also )

Context

Basic definitions

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Stable homotopy theory notions

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Constructions

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Lemmas

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Homology theories

Theorems

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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 July 30, 2018 at 07:39:42. See the history of this page for a list of all contributions to it.