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Matematicheskie Zametki, 2019, Volume 106, Issue 1, paper published in the English version journal (Mi mzm11358)  
Papers published in the English version of the journal

3-Generated Lattice with Left Modular and Separating Generators

M. P. Shushpanov

Ural Federal University, Yekaterinburg, 620002 Russia
Abstract: We consider a lattice generated by three elements, two of which are a left modular element and a separating element. It is proved that such a lattice is finite and contains at most 47 elements. It is shown that this estimate is accurate.
Keywords: lattice, left modular element, separating element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation A03.21.0006
This work was supported by the Project for Enhancing the Competitiveness (Agreement between the Russian Federation Ministry of Education and Science and Ural Federal University, August 27, 2013, no. 02. A03.21.0006).
Received: 29.08.2016
Revised: 06.02.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 113–117
DOI: https://doi.org/10.1134/S0001434619070125
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. P. Shushpanov, “3-Generated Lattice with Left Modular and Separating Generators”, Math. Notes, 106:1 (2019), 113–117
Citation in format AMSBIB
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\by M.~P.~Shushpanov
\paper 3-Generated Lattice with Left Modular and Separating Generators
\jour Math. Notes
\yr 2019
\vol 106
\issue 1
\pages 113--117
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\crossref{https://doi.org/10.1134/S0001434619070125}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071641290}
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