Constantive Mal’cev clones on finite sets are finitely related

Erhard Aichinger · Proceedings of the American Mathematical Society · 2010

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.

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