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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 4, Pages 798–804
DOI: https://doi.org/10.17377/smzh.2015.56.407 (Mi smj2679) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type

A. G. Geĭn, M. P. Shushpanov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (312 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2015.56.407
Abstract: We consider the $3$-generated lattices whose generators enjoy some properties that are close to modularity in a sense, including left modularity, right modularity, and dual right modularity. We find all combinations of these properties that suffice for the modularity of the lattice.
Keywords: modular lattice, modular element.
Received: 06.11.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 4, Pages 631–636
DOI: https://doi.org/10.1134/S0037446615040072
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Geǐn, M. P. Shushpanov, “Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type”, Sibirsk. Mat. Zh., 56:4 (2015), 798–804; Siberian Math. J., 56:4 (2015), 631–636
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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