Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 73–80 (Mi smj850)  
This article is cited in 7 scientific papers (total in 7 papers)

Covers in the lattice of varieties of $m$-groups

A. V. Zenkov

Altai State Agricultural University
Full-text PDF (208 kB) Citations (7)
References:
PDF
HTML
Abstract: We consider some questions on covers in the lattice of varieties of $m$-groups. We prove the existence of a nonabelian cover of the smallest nontrivial variety of $m$-groups. We show that there exists an uncountable set of o-approximable varieties of $m$-groups each of which has continuum many o-approximable covers. In the lattice of o-approximable varieties of $m$-groups we find a variety that has no covers in this variety and no independent basis of identities.
Received: 25.10.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 58–63
DOI: https://doi.org/10.1007/s11202-006-0007-8
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: A. V. Zenkov, “Covers in the lattice of varieties of $m$-groups”, Sibirsk. Mat. Zh., 47:1 (2006), 73–80; Siberian Math. J., 47:1 (2006), 58–63
Citation in format AMSBIB
\Bibitem{Zen06}
\by A.~V.~Zenkov
\paper Covers in the lattice of varieties of $m$-groups
\jour Sibirsk. Mat. Zh.
\yr 2006
\vol 47
\issue 1
\pages 73--80
\mathnet{http://mi.mathnet.ru/smj850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2215296}
\zmath{https://zbmath.org/?q=an:1115.06009}
\transl
\jour Siberian Math. J.
\yr 2006
\vol 47
\issue 1
\pages 58--63
\crossref{https://doi.org/10.1007/s11202-006-0007-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000235434200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-31844453568}
Linking options:
  • https://www.mathnet.ru/eng/smj850
  • https://www.mathnet.ru/eng/smj/v47/i1/p73
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:216
    Full-text PDF :82
    References:69
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024