algebra universalis

, Volume 52, Issue 4, pp 403–429 | Cite as

Fibration of points and congruence modularity

Original Paper

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.

Mathematics Subject Classification (2000).

08B10 08A30 18C10 03C05 

Key words and phrases.

Congruence modular variety shifting lemma unital and Mal’cev category fibration of points 

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Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Pures et AppliquéesUniversité du LittoralCalaisFrance

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