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Sib. Èlektron. Mat. Izv., 2017, Volume 14, Pages 528–532 (Mi semr803)  

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

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


DOI: https://doi.org/10.17377/semi.2017.14.043

Full text: PDF file (1079 kB)
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Bibliographic databases:

UDC: 512.56
MSC: 06B25
Received February 6, 2017, published May 30, 2017

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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