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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 6, Pages 1267–1275
DOI: https://doi.org/10.17377/smzh.2017.58.607 (Mi smj2936) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lattices with defining relations close to distributivity

A. G. Gein, M. P. Shushpanov

Ural Federal University, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/smzh.2017.58.607
Abstract: We consider the $3$-generated lattices whose generators enjoy the defining relations of the type $a\vee(b\wedge c)=(a\vee b)\wedge(a\vee c)$. Moreover, if the lattice is finite then we obtain its diagram; otherwise, we prove that the corresponding lattice is infinite.
Keywords: defining relation, free lattice, distributive lattice.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
The authors were 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: 13.02.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 6, Pages 983–989
DOI: https://doi.org/10.1134/S0037446617060076
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, M. P. Shushpanov, “Lattices with defining relations close to distributivity”, Sibirsk. Mat. Zh., 58:6 (2017), 1267–1275; Siberian Math. J., 58:6 (2017), 983–989
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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