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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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124620 |
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| Zitieren: | n-distributivity and n-modularity in lattices / J. Skowronek-Kaziow // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 273-278. — Бібліогр.: 8 назв. — англ. |
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Skowronek-Kaziow, J. 2017-09-30T10:07:16Z 2017-09-30T10:07:16Z 2004 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. https://nasplib.isofts.kiev.ua/handle/123456789/124620 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. en Інститут прикладної математики і механіки НАН України Український математичний вісник n-distributivity and n-modularity in lattices Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
n-distributivity and n-modularity in lattices |
| spellingShingle |
n-distributivity and n-modularity in lattices Skowronek-Kaziow, J. |
| 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 |
| author |
Skowronek-Kaziow, J. |
| author_facet |
Skowronek-Kaziow, J. |
| publishDate |
2004 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.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. |
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AT skowronekkaziowj ndistributivityandnmodularityinlattices |
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2025-11-30T12:13:23Z |
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2025-11-30T12:13:23Z |
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1850857621523791872 |