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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1215–1219
DOI: https://doi.org/10.17377/semi.2017.14.103 (Mi semr862) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

On the embedding of the free lattice of rank $3$ in the lattice freely generated by three completely right modular elements

M. P. Shushpanov

Ural Federal University, 19, Mira str, 620002, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.103
Abstract: We consider the lattice freely generated by three elements, which are right modular and dually right modular simultaneously. We prove that this lattice contains the free lattice of rank $3$ as a sublattice.
Keywords: right modular element, dually right modular element, completely right modular element, free lattice.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Supported through the Competitiveness Project (Agreement between the Ministry of Education and Science of the Russian Federation and the Ural Federal University No. 02.A03.21.0006, 27.08.2013).
Received October 1, 2017, published November 27, 2017
Document Type: Article
UDC: 512.56
MSC: 06B25
Language: English
Citation: M. P. Shushpanov, “On the embedding of the free lattice of rank $3$ in the lattice freely generated by three completely right modular elements”, Sib. Èlektron. Mat. Izv., 14 (2017), 1215–1219
Citation in format AMSBIB
\Bibitem{Shu17}
\by M.~P.~Shushpanov
\paper On the embedding of the free lattice of rank $3$ in the lattice freely generated by three completely right modular elements
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1215--1219
\mathnet{http://mi.mathnet.ru/semr862}
\crossref{https://doi.org/10.17377/semi.2017.14.103}
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