Author(s):
Borceux, Francis 
; Clementino, Maria Manuel ; Gran, Marino ; Sousa, Lurdes
Date: 2008
Persistent ID: http://hdl.handle.net/10316/4577
Origin: Estudo Geral - Universidade de Coimbra
Document details
Protolocalisations of homological categories
Description
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. http://www.sciencedirect.com/science/article/B6V0K-4RN48M4-2/1/8f47e542c1c6a989386a75a9efb80428
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. http://www.sciencedirect.com/science/article/B6V0K-4RN48M4-2/1/8f47e542c1c6a989386a75a9efb80428
Document Type
Article
Language English
Language English
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