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, 2003, Volume 44, Number 6, Pages 1329–1336 (Mi smj1259)  
Wreath products and universal equivalence

S. V. Morozova
Full-text PDF (207 kB)
References:
PDF
HTML
Abstract: We consider the question of preservation of universal equivalence for the cartesian and direct wreath products of lattice-ordered groups and groups. We prove that the basic rank is infinite of the quasivariety of torsion-free nilpotent groups of nilpotence length $\leqslant c(c\geqslant2)$.
Keywords: universal equivalence, nilpotent group, lattice-ordered group, quasivariety of groups, basic rank.
Received: 23.12.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1043–1048
DOI: https://doi.org/10.1023/B:SIMJ.0000007480.41026.41
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: S. V. Morozova, “Wreath products and universal equivalence”, Sibirsk. Mat. Zh., 44:6 (2003), 1329–1336; Siberian Math. J., 44:6 (2003), 1043–1048
Citation in format AMSBIB
\Bibitem{Mor03}
\by S.~V.~Morozova
\paper Wreath products and universal equivalence
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 6
\pages 1329--1336
\mathnet{http://mi.mathnet.ru/smj1259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2034939}
\zmath{https://zbmath.org/?q=an:1087.06010}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 6
\pages 1043--1048
\crossref{https://doi.org/10.1023/B:SIMJ.0000007480.41026.41}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000187464000012}
Linking options:
  • https://www.mathnet.ru/eng/smj1259
  • https://www.mathnet.ru/eng/smj/v44/i6/p1329
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024