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Algebra i logika, 2017, Volume 56, Number 1, Pages 3–19
DOI: https://doi.org/10.17377/alglog.2017.56.101 (Mi al776) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Modularity and distributivity of $3$-generated lattices with special elements among generators

A. G. Gein, M. P. Shushpanov

El'tsyn Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
Full-text PDF (920 kB) Citations (4)
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DOI: https://doi.org/10.17377/alglog.2017.56.101
Abstract: We consider $3$-generated lattices whose generating elements possess properties that are, in a sense, close to modularity or distributivity. Those combinations of these properties are specified that are sufficient for a lattice to be modular, and even distributive.
Keywords: modular lattice, distributive lattice, left modular element, right modular element, distributive element, standard element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Supported through the Competitiveness Project (Agreement No. 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University).
Received: 08.07.2015
Revised: 17.11.2015
English version:
Algebra and Logic, 2017, Volume 56, Issue 1, Pages 1–12
DOI: https://doi.org/10.1007/s10469-017-9423-z
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, M. P. Shushpanov, “Modularity and distributivity of $3$-generated lattices with special elements among generators”, Algebra Logika, 56:1 (2017), 3–19; Algebra and Logic, 56:1 (2017), 1–12
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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