2025-02-23T22:04:40-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-124620%22&qt=morelikethis&rows=5
2025-02-23T22:04:40-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-124620%22&qt=morelikethis&rows=5
2025-02-23T22:04:40-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T22:04:40-05:00 DEBUG: Deserialized SOLR response
n-distributivity and n-modularity in lattices

n-distributivity and n-modularity in lattices

In this paper we consider some forbidden sublattices for n-distributive, but non-modular lattices. We define the new notion of n-modularity (weaker than n-distributivity). We also consider some forbidden sublattice for an n-modular lattice. We prove that n-modularity implies (n + 1)-modularity. The...

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Main Author: Skowronek-Kaziow, J.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124620
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spelling irk-123456789-1246202017-10-01T03:02:53Z n-distributivity and n-modularity in lattices Skowronek-Kaziow, J. In this paper we consider some forbidden sublattices for n-distributive, but non-modular lattices. We define the new notion of n-modularity (weaker than n-distributivity). We also consider some forbidden sublattice for an n-modular lattice. We prove that n-modularity implies (n + 1)-modularity. The counter-examples for the inverse implication are shown. 2004 Article n-distributivity and n-modularity in lattices / J. Skowronek-Kaziow // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 273-278. — Бібліогр.: 8 назв. — англ. 1810-3200 2000 MSC. 06C99, 06D99, 06D50. http://dspace.nbuv.gov.ua/handle/123456789/124620 en Український математичний вісник Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In this paper we consider some forbidden sublattices for n-distributive, but non-modular lattices. We define the new notion of n-modularity (weaker than n-distributivity). We also consider some forbidden sublattice for an n-modular lattice. We prove that n-modularity implies (n + 1)-modularity. The counter-examples for the inverse implication are shown.
format Article
author Skowronek-Kaziow, J.
spellingShingle Skowronek-Kaziow, J.
n-distributivity and n-modularity in lattices
Український математичний вісник
author_facet Skowronek-Kaziow, J.
author_sort Skowronek-Kaziow, J.
title n-distributivity and n-modularity in lattices
title_short n-distributivity and n-modularity in lattices
title_full n-distributivity and n-modularity in lattices
title_fullStr n-distributivity and n-modularity in lattices
title_full_unstemmed n-distributivity and n-modularity in lattices
title_sort n-distributivity and n-modularity in lattices
publisher Інститут прикладної математики і механіки НАН України
publishDate 2004
url http://dspace.nbuv.gov.ua/handle/123456789/124620
citation_txt n-distributivity and n-modularity in lattices / J. Skowronek-Kaziow // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 273-278. — Бібліогр.: 8 назв. — англ.
series Український математичний вісник
work_keys_str_mv AT skowronekkaziowj ndistributivityandnmodularityinlattices
first_indexed 2023-10-18T20:46:47Z
last_indexed 2023-10-18T20:46:47Z
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