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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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Published in:Український математичний вісник
Date:2004
ISSN:1810-3200
Main Author: Skowronek-Kaziow, J.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/124620
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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