Geodesic
Semi-abelian exact completions
Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 175-189.

Voir la notice de l'article provenant de la source International Press of Boston

We characterize the categories which are projective covers of regular protomodular categories. Our result gives in particular a characterization of the categories with weak finite limits with the property that their exact completions are semi-abelian categories. As an application, we obtain a categorical proof of the recent characterization of semi-abelian varieties.
DOI : 10.4310/HHA.2002.v4.n1.a10
Classification : 08C05, 18A35, 18B15, 18E10, 18G05, 18G50
Keywords: exact completion, protomodular and semi-abelian categories, semi-abelian varieties 
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     author = {Marino Gran},
     title = {Semi-abelian exact completions},
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Marino Gran. Semi-abelian exact completions. Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 175-189. doi : 10.4310/HHA.2002.v4.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a10/

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