Algebra i logika
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


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2013, Volume 52, Number 6, Pages 657–666 (Mi al612)  
This article is cited in 7 scientific papers (total in 7 papers)

Finitely generated lattices with completely modular elements among generators

A. G. Gein, M. P. Shushpanov

El'tsin Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
Full-text PDF (252 kB) Citations (7)
References:
PDF
HTML
Abstract: We look at the concept of a completely modular element of a lattice, which is the modular analog of the well-known concept of a neutral element of a lattice. It is proved that a lattice is modular if it is generated by three elements of which two are completely modular. Also it is shown that a lattice generated by $n$, $n>3$, completely modular elements must not necessarily be modular.
Keywords: modular lattices, free lattices, modular elements.
Received: 17.08.2013
Revised: 28.11.2013
English version:
Algebra and Logic, 2014, Volume 52, Issue 6, Pages 435–441
DOI: https://doi.org/10.1007/s10469-014-9258-9
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, M. P. Shushpanov, “Finitely generated lattices with completely modular elements among generators”, Algebra Logika, 52:6 (2013), 657–666; Algebra and Logic, 52:6 (2014), 435–441
Citation in format AMSBIB
\Bibitem{GeiShu13}
\by A.~G.~Gein, M.~P.~Shushpanov
\paper Finitely generated lattices with completely modular elements among generators
\jour Algebra Logika
\yr 2013
\vol 52
\issue 6
\pages 657--666
\mathnet{http://mi.mathnet.ru/al612}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3242615}
\transl
\jour Algebra and Logic
\yr 2014
\vol 52
\issue 6
\pages 435--441
\crossref{https://doi.org/10.1007/s10469-014-9258-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000332578600001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897632516}
Linking options:
  • https://www.mathnet.ru/eng/al612
  • https://www.mathnet.ru/eng/al/v52/i6/p657
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:254
    Full-text PDF :68
    References:55
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024