Constantive Mal'cev clones on finite sets are finitely related

• Autores: Erhard Aichinger
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3501-3507
• Idioma: inglés
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• Resumen

  • We show that on a finite set there are at most countably many constantive clones that contain a Mal'cev operation, and each such clone can be described by a single finitary relation. Thus, modulo polynomial equivalence and renaming of the elements, there are only countably many finite algebras that contain a Mal'cev term