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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 528–532
DOI: https://doi.org/10.17377/semi.2017.14.043 (Mi semr803) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On infinity of the free $3$-generated lattice with one left modular generator

M. P. Shushpanov

Ural Federal University, 19, Mira str., 620002, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.043
Abstract: We consider the free lattice generated by three elements one of which is left modular. We prove that the lattice is infinite.
Keywords: free lattice, left modular element, right modular element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received February 6, 2017, published May 30, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.56
MSC: 06B25
Language: Russian
Citation: M. P. Shushpanov, “On infinity of the free $3$-generated lattice with one left modular generator”, Sib. Èlektron. Mat. Izv., 14 (2017), 528–532
Citation in format AMSBIB
\Bibitem{Shu17}
\by M.~P.~Shushpanov
\paper On infinity of the free $3$-generated lattice with one left modular generator
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 528--532
\mathnet{http://mi.mathnet.ru/semr803}
\crossref{https://doi.org/10.17377/semi.2017.14.043}
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