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Localization and completion in a category. (English) Zbl 0856.18008

Suppose \(S\) is a set of morphisms in a category, \({\mathcal C}\), then A. K. Bousfield [Topology 14, 133-150 (1975; Zbl 0309.55013)] defined a notion of \(S\)-localization whilst A. Deleanu [J. Pure Appl. Algebra 4, 299-308 (1974; Zbl 0289.55010)] defined a corresponding notion of \(S\)-completion. The authors study relations between these two notions when \(S\) admits a calculus of left fractions.
Reviewer: T.Porter (Bangor)

MSC:

18E35 Localization of categories, calculus of fractions
55U99 Applied homological algebra and category theory in algebraic topology
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