Neeman, Amnon The derived category of an exact category. (English) Zbl 0753.18004 J. Algebra 135, No. 2, 388-394 (1990). 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. Reviewer: T.Spircu (Bucureşti) Cited in 1 ReviewCited in 85 Documents MSC: 18E10 Abelian categories, Grothendieck categories 18E30 Derived categories, triangulated categories (MSC2010) 18G35 Chain complexes (category-theoretic aspects), dg categories Keywords:exact category; derived category; homotopy category; chain complexes; acyclic complexes PDFBibTeX XMLCite \textit{A. Neeman}, J. Algebra 135, No. 2, 388--394 (1990; Zbl 0753.18004) Full Text: DOI References: [1] Beilinson, A. A.; Bernstein, J.; Deligne, P., Analyse et topology sur les espaces singuliers, Aste´risque, 100 (1982) [2] Karoubi, M., Alge‘bres de Clifford et \(K\)-theorie, Ann. Sci.E´cole Norm. Sup., 1, 161-270 (1968) · Zbl 0194.24101 [3] Rickard, J., Derived categories and stable equivalence (1987), preprint [4] Thomason, R. W., Higher algebraic \(K\)-theory of schemes and of derived categories (1988), preprint · Zbl 0655.55002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.