algebra universalis

, Volume 48, Issue 3, pp 309–331 | Cite as

Centrality and connectors in Maltsev categories

  • Dominique Bourn
  • Marino Gran
Regular article

Abstract.

We develop a new approach to the classical property of centrality of equivalence relations. The internal notion of connector allows to clarify classical results in Maltsev varieties and to extend them in the more general context of regular Maltsev categories, hence including the important new examples of Maltsev quasivarieties and of topological Maltsev algebras. We also prove that Maltsev categories can be characterized in terms of a property of connectors.

2000 Mathematics Subject Classification: 18C05, 08C15, 08B05, 18E10.¶Key words and phrases: Maltsev categories, centrality of equivalence relations, connector, internal groupoids. 

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Copyright information

© Birkhäuser Verlag Basel, 2002

Authors and Affiliations

  • Dominique Bourn
    • 1
  • Marino Gran
    • 2
  1. 1.Université du Littoral Côte d'Opale, Laboratoire de Mathématiques Pures et Appliquées, Bt. H. Poincaré, 50 Rue F. Buisson BP 699, 62228 Calais - France, e-mail: bourn@lmpa.univ-littoral.frFR
  2. 2.Université du Littoral Côte d'Opale, Laboratoire de Mathématiques Pures et Appliquées, Bt. H. Poincaré, 50 Rue F. Buisson BP 699, 62228 Calais - France, e-mail: gran@lmpa.univ-littoral.frFR

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