Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (1008 kB) Citations (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/semr862
  • https://www.mathnet.ru/eng/semr/v14/p1215
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:114
    Full-text PDF :25
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024