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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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Dual spaces for some congruence lattices of lattices
by
Miroslav Ploščica
Math. Institute, Slovak Acad. of Sciences, Košice, Slovakia

Every distributive algebraic lattice is isomorphic to the lattice of open sets of some topological space. We use this topological representation to describe the congruence lattices of lattices in the varieties HSP(Mn), where Mn denotes the lattice of length 2 with n middle elements. Up to cardinality \aleph1, the characterization does not depend on n.

Date received: May 31, 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-86.