Protolocalisations of homological categories

Borceux, Francis;Clementino, Maria Manuel;Gran, Marino;Sousa, Lurdes
(2008) Journal of Pure and Applied Algebra — Vol. 212, n° 8, p. 1898-1927 (2008)

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Authors
  • Borceux, FrancisUCLouvain
    Author
  • Clementino, Maria Manuel
    Author
  • Gran, MarinoUCLouvain
    Author
  • Sousa, Lurdes
    Author
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. (c) 2007 Elsevier B.V. All rights reserved.
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Borceux, F., Clementino, M. M., Gran, M., & Sousa, L. (2008). Protolocalisations of homological categories. Journal of Pure and Applied Algebra, 212(8), 1898-1927. https://doi.org/10.1016/j.jpaa.2007.11.005 (Original work published 2008)