Geodesic
Protolocalisations of exact Mal'cev categories
Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 37-60 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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A protolocalisation of a regular category is a full reflective regular subcategory, whose reflection preserves pullbacks of regular epimorphisms along arbitrary morphisms. We devote special attention to the epireflective protolocalisations of an exact Mal'cev category; we characterise them in terms of a corresponding closure operator on equivalence relations. We give some examples in algebra and in topos theory.

Classification : 18E40, 16A21, 54H13
Keywords: protolocalisation, radical theory, homological category, semi-abelian category 
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     author = {Francis Borceux and Marino Gran and Sandra Mantovani},
     title = {Protolocalisations of exact {Mal'cev} categories},
     journal = {Theory and applications of categories},
     pages = {37--60},
     year = {2008},
     volume = {21},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2008_21_a2/}
}
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Francis Borceux; Marino Gran; Sandra Mantovani. Protolocalisations of exact Mal'cev categories. Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 37-60. http://geodesic.mathdoc.fr/item/TAC_2008_21_a2/