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AAA63-Workshop on General Algebra (63. Arbeitstagung Allgemeine Algebra) combined with CYA17-Conference of Young Algebraists (17. Tagung junger Algebraiker)
February 22-24, 2002
University of Kaiserslautern, Department of Mathematics
Kaiserslautern, Germany

Organizers
Dietmar Schweigert

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Cayley representation of algebras with additional semigroup structure
by
Danica Jakubíková-Studenovská
Dept. of Geom. and Algebra, Safárik University, Jesenná 5, Kosice, SK--041 54, Slovakia
Coauthors: Reinhard Pöschel

In this talk we consider the question which algebras endowed with an additional semigroup operation allow a Cayley-type characterization, i.e. are isomorphic to algebras of unary mappings such that the semigroup operation becomes composition. These algebras (so-called Ko-algebras which generalize structures like e.g. lattices and near-rings) are characterized and their representation as transformation algebras is given ("Cayley Theorem").

Date received: February 4, 2002

Copyright © 2002 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 # caht-16.