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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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On an algebra of co-relations on a finite set
by
Dragan Mašulović
Institute of Mathematics, university of Novi Sad, Yugoslavia

Clones of co-relations were introduced R. Pöschel and M. Rößiger as a concept dual to clones of relations. Pöschel and Rößiger have shown that in case the underlying set is finite, a set of co-relations S is a clone of co-relations on if and only if there exists a set of co-operations F such that S = cInvX F. This paper introduces operations on the set of all finitary co-relations analogous to the well-known operations on the set of relations. Our aim is to characterize clones of co-relations on a finite set as subalgebras of some special algebra of co-relations.

Date received: February 22, 2000

Copyright © 2000 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 # caee-05.