The derived category of an exact category
type: Item
instance of: scholarly article
title: The derived category of an exact category
zbMATH Open document ID: 0753.18004
DOI: 10.1016/0021-8693(90)90296-Z
author: Amnon Neeman
published in: Journal of Algebra
publication date: 1992-06-25T00:00:00Z
review text: For a saturated (i.e. every idempotent splits) exact category \(\mathcal E\) the derived category \(D({\mathcal E})\) is constructed as the quotient of the homotopy category of chain complexes of objects of \(\mathcal E\), by the full subcategory of acyclic complexes. The paper contains also some useful remarks on different earlier similar constructions.
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 18G35
zbMATH DE Number: 7133
zbMATH Keywords: exact category
zbMATH Keywords: derived category
zbMATH Keywords: homotopy category
zbMATH Keywords: chain complexes
zbMATH Keywords: acyclic complexes
reviewed by: T. Spircu
MaRDI profile type: Publication
cites work: Q3320507
cites work: Algèbres de Clifford et $K$-théorie
cites work: Equivariant algebraic vs. topological K-homology Atiyah-Segal-style
full work available at URL: 0021-8693(90)90296-z
OpenAlex ID: W2077362502
description: scientific article; zbMATH DE number 7133