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AAA63-Workshop on General Algebra (63. Arbeitstagung Allgemeine Algebra) combined with CYA17-Conference of Young Algebraists (17. Tagung junger Algebraiker)
February 22-24, 2002
University of Kaiserslautern, Department of Mathematics
Kaiserslautern, Germany

Organizers
Dietmar Schweigert

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Join-closed and meet-closed subsets in complete lattices
by
Vladimir Slezak
Palacky University Olomouc, Czech Republic
Coauthors: Frantisek Machala

To every subset A of a complete lattice L we assign subsets J(A), M(A) and define join-closed and meet-closed sets in L. Some properties of such sets are proved. Join- and meet-closed sets in power-set lattices are characterized. The connections about join-independent (meet-independent) and join-closed (meet-closed) subsets are also presented in this talk.

Date received: February 1, 2002

Copyright © 2002 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 # caht-13.