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.
Affiliations
Université du LittoralLaboratoire de Mathématiques Pures et Appliquées
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Gran, M. (2002). Semi-abelian exact completions. Homology, Homotopy and Applications, 4(1), 175-189. https://doi.org/10.4310/HHA.2002.v4.n1.a10 (Original work published 2002)