On blockers in bounded posets

Antichains of a finite bounded poset are assigned antichains playing a role analogous to that played by blockers in the Boolean lattice of all subsets of a finite set. Some properties of lattices of generalized blockers are discussed.

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Main Author: Andrey O. Matveev
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201020087
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author Andrey O. Matveev
author_facet Andrey O. Matveev
author_sort Andrey O. Matveev
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description Antichains of a finite bounded poset are assigned antichains playing a role analogous to that played by blockers in the Boolean lattice of all subsets of a finite set. Some properties of lattices of generalized blockers are discussed.
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institution Kabale University
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1687-0425
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publishDate 2001-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b137cd10fee540df87bf0768c1f07d802025-08-20T03:39:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261058158810.1155/S0161171201020087On blockers in bounded posetsAndrey O. Matveev0Data-Center Company, RU-620034, P.O. Box 5, Ekaterinburg, RussiaAntichains of a finite bounded poset are assigned antichains playing a role analogous to that played by blockers in the Boolean lattice of all subsets of a finite set. Some properties of lattices of generalized blockers are discussed.http://dx.doi.org/10.1155/S0161171201020087
spellingShingle Andrey O. Matveev
On blockers in bounded posets
International Journal of Mathematics and Mathematical Sciences
title On blockers in bounded posets
title_full On blockers in bounded posets
title_fullStr On blockers in bounded posets
title_full_unstemmed On blockers in bounded posets
title_short On blockers in bounded posets
title_sort on blockers in bounded posets
url http://dx.doi.org/10.1155/S0161171201020087
work_keys_str_mv AT andreyomatveev onblockersinboundedposets