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The derived category of an exact category. (English) Zbl 0753.18004
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.

##### MSC:
 18E10 Abelian categories, Grothendieck categories 18E30 Derived categories, triangulated categories (MSC2010) 18G35 Chain complexes (category-theoretic aspects), dg categories
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##### References:
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