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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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Total multifunctions and relations
by
Ferdinand Börner
Universität Potsdam

A multifunction on a set A is a function f : An --> P(A). It is called total if f(a1, ... , an) is always nonempty. The concepts of superposition, clone etc. for usual functions generalize in a very natural way to multifunctions.

We study clones of total multifunctions and their connections with several algebraic structures on the set Rel(A) of finitary relations on A. We use these connections for the investigation of the maximal clones of total multifunctions.

Date received: May 24, 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-77.