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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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Hypersubstitutions in the variety of left symmetric left distributive groupoids
by
Alena Vanzurova
Dept. Alg. and Geom., Fac. Sci., Palacky University, Olomouc, CR

We investigate normal form hypersubstitutions with respect to the variety of left symmetric idempotent left distributive groupoids. The variety under consideration includes a subvariety which is mirror to the variety SIE studied before by B.Roszkowska and K.Denecke - Sr.Anworn, and some results are analogous.

The groupoid of normal form hypersubstitutions is determined, it is proven that there are no other idempotents besides those inherited from Hyp(2), and the two-element monoid of proper normal form hypersubstitutions is found.

Date received: January 31, 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-42.