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AAA76 - 76th Workshop on General Algebra (76. Arbeitstagung Allgemeine Algebra)
May 22-25, 2008
Department of Algebra, Johannes Kepler University Linz
Linz, Austria

Organizers
Erhard Aichinger, Peter Mayr, Matt Nickodemus, Günter Pilz

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Lifting diagrams by congruence lattices
by
Miroslav Ploščica
Šafárik's University Košice, Slovakia

We consider the problem, whether the algebras in two finitely generated congruence distributive varieties have isomorphic congruence lattices. According to results of P. Gillibert, this problem is closely connected with the question, which diagrams of finite semilattices can be represented by the congruence lattices of algebras in a given variety. We study this question for varieties of bounded lattices generated by different Mn (nondistributive lattices of length 2).

Date received: May 9, 2008

Copyright © 2008 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 # cawc-48.