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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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Varieties of relational structures
by
Jens-Uwe Grabowski
Dresden University of Technology

We discuss first order expressions of the form
for allx: (p1(x) <--> p2(x)),
where p1 and p2 are primitive positive formulas. The classes of finite relational structures axiomatized by (possibly infinitely many) such expressions are exactly the varieties of finite relational structures, i.e. classes closed under formation of retracts and products.

We mention the connection with the construction of categorically equivalent algebras.

Date received: May 3, 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-22.