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65th Workshop on General Algebra, 18th Conference for Young Algebraists
March 21-23, 2003
University of Potsdam
Potsdam, Germany

Organizers
Klaus Denecke, Jörg Koppitz

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On minimal clones
by
Péter P. Pálfy
Eötvös University, Budapest, Hungary

In my survey talk at the conference celebrating Béla Csákány's 70th birthday (Szeged, July, 2002) I formulated three problems concerning minimal clones:

1. Complete the determination of minimal clones over the 4-element set.

2. Is there a minimal clone containing more than 24 majority operations?

3. Is there a minimal clone containing infinitely many binary idempotent operations?

In the present talk I will report on some progress related to these questions.

Date received: January 28, 2003


Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-22.