Algebra, Logic and Topology

 

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Author(s)
Francis Borceux; Lurdes Sousa; Maria Manuel Clementino; Marino Gran;

Title
Protolocalisations of homological categories

Abstract
A protolocalisation of a homological (resp. semi-abelian) category is a regular full reflective subcategory, whose reflection preserves short exact sequences. We study the closure operator and the torsion theory associated with such a situation. We pay special attention to the fibered, the regular epireflective and the monoreflective cases. We give examples in algebra, topos theory and functional analysis.

Journal
Journal of Pure and Applied Algebra

Volume
212

Year
2008

Issue

Page(s)
1898–1927

 
     
 

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