Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 3, Pages 18–22 (Mi ivm9088)  
Finitely generated lattices with $M$-standard elements among generators

A. G. Gein

Chair of Algebra and Discrete Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia
Full-text PDF (139 kB)
References:
PDF
HTML
Abstract: We prove that a lattice is modular if it is generated by three elements, two of which are $M$-standard. We also show that a lattice generated by $n$, $n>3$, $M$-standard elements must not necessarily be modular.
Keywords: modular lattice, left-modular element, right-modular element, $M$-standard element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 13.08.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 3, Pages 14–17
DOI: https://doi.org/10.3103/S1066369X16030026
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, “Finitely generated lattices with $M$-standard elements among generators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3, 18–22; Russian Math. (Iz. VUZ), 60:3 (2016), 14–17
Citation in format AMSBIB
\Bibitem{Gei16}
\by A.~G.~Gein
\paper Finitely generated lattices with $M$-standard elements among generators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 3
\pages 18--22
\mathnet{http://mi.mathnet.ru/ivm9088}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 3
\pages 14--17
\crossref{https://doi.org/10.3103/S1066369X16030026}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000409282300002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84959565156}
Linking options:
  • https://www.mathnet.ru/eng/ivm9088
  • https://www.mathnet.ru/eng/ivm/y2016/i3/p18
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :36
    References:58
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024