Francis Borceux; Lurdes Sousa; Maria Manuel Clementino; Marino Gran;
Protolocalisations of homological categories
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 of Pure and Applied Algebra