| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597606 | Journal of Pure and Applied Algebra | 2008 | 30 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Francis Borceux, Maria Manuel Clementino, Marino Gran, Lurdes Sousa,