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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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Subdirectly irreducible generalized sums
by
Zyta Szylicka
Institute of Mathematics, Technical University of Opole, Poland
Coauthors: Jerzy P\lonka (Mathematical Institute of the Polish Academy of Sciences)

In 1967 a construction called the sum of a semilattice ordered system of algebras was defined. This construction further was also named the Plonka sum of algebras. In 1972 H. Lakser, R. Padmanabhan and C.R. Platt described all subdirectly irreducible Plonka sums of algebras. In 1991 A. Wojtunik considered some generalization of the Plonka sum which she named the generalized sum of an (F1, F2)-upper semilattice ordered system of algebras (here briefly: the generalized sum of algebras). In the lecture we describe all subdirectly irreducible generalized sums of algebras.

Date received: May 18, 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-38.