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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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Invariant relations of (transformation) algebras with additional semigroup structure
by
Reinhard Pöschel
Institute of Algebra, University of Technology Dresden, Germany
Coauthors: Danica Jakubíková-Studenovská

This talk is a continuation of the talk on Cayley representations of algebras given by D. Jakubikova-Studenovska. Because of the ``Cayley Theorem'', where Ko-algebras are characterized by transformation algebras, it makes sense to restrict to transformation Ko-algebras and to study them in more detail. This can be done e.g. via a characterization of transformation monoids by invariant relations (based on the well-studied Galois connection End-Inv). As an example we consider transformation algebras over a cyclic group (thus also characterizing all transformation near-rings).

Date received: February 1, 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-14.