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Fibration of points and congruence modularity

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Abstract.

Mal’cev varieties, or more generally Mal’cev categories, have been characterized by a property of the fibres of their fibration of points. In the same way, it is shown here that congruence modular varieties, and more generally Gumm categories, are also characterized by a property of these fibres.

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  1. Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, Bat. H. Poincaré, 50 Rue F. Buisson BP 699, 62228, Calais, France

    Dominique Bourn

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  1. Dominique Bourn
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Correspondence to Dominique Bourn.

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Received June 4, 2003; accepted in final form June 18, 2004.

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Bourn, D. Fibration of points and congruence modularity. Algebra univers. 52, 403–429 (2005). https://doi.org/10.1007/s00012-004-1880-2

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  • DOI: https://doi.org/10.1007/s00012-004-1880-2

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