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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 941–948
DOI: https://doi.org/10.33048/smzh.2019.60.419 (Mi smj3127) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finiteness and infiniteness of $3$-generated lattices with distributive elements among generators

M. P. Shushpanov

Ural Federal University, Ekaterinburg, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.419
Abstract: We consider $3$-generated lattices whose generators are distributive, dually distributive, right modular, dually right modular elements, or elements possessing a combination of these properties. For these lattices, we find all triples of generators that suffice for the generated lattice to be finite.
Keywords: distributive element, right modular element, finite lattice, infinite lattice.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
The author was supported under Agreement No. 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and Ural Federal University.
Received: 20.08.2018
Revised: 03.10.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 734–740
DOI: https://doi.org/10.1134/S0037446619040190
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: M. P. Shushpanov, “Finiteness and infiniteness of $3$-generated lattices with distributive elements among generators”, Sibirsk. Mat. Zh., 60:4 (2019), 941–948; Siberian Math. J., 60:4 (2019), 734–740
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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