Russian Academy of Sciences. Sbornik. Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 1, Pages 189–197
DOI: https://doi.org/10.1070/SM1993v076n01ABEH003407 (Mi sm1047) 		 
On varieties of Lie algebras not containing a three-dimensional simple algebra

S. P. Mishchenko
English version PDF (510 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1993v076n01ABEH003407
Abstract: It is proved that in the case of zero characteristic of the ground field a variety of Lie algebras not containing a 3-dimensional simple algebra is solvable in the following cases:
1) The variety has a distributive lattice of subvarieties.
2) The variety satisfies all the identities of the infinite-dimensional Witt algebra.
Received: 16.07.1990
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 6, Pages 87–96
Bibliographic databases:
UDC: 519.4
MSC: Primary 17B30; Secondary 08B15, 17B65
Language: English
Original paper language: Russian
Citation: S. P. Mishchenko, “On varieties of Lie algebras not containing a three-dimensional simple algebra”, Mat. Sb., 183:6 (1992), 87–96; Russian Acad. Sci. Sb. Math., 76:1 (1993), 189–197
Citation in format AMSBIB
\Bibitem{Mis92}
\by S.~P.~Mishchenko
\paper On varieties of Lie algebras not containing a~three-dimensional simple algebra
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 6
\pages 87--96
\mathnet{http://mi.mathnet.ru/sm1047}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1186779}
\zmath{https://zbmath.org/?q=an:0779.17004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..76..189M}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 1
\pages 189--197
\crossref{https://doi.org/10.1070/SM1993v076n01ABEH003407}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MD58900010}
Linking options:
  • https://www.mathnet.ru/eng/sm1047
  • https://doi.org/10.1070/SM1993v076n01ABEH003407
  • https://www.mathnet.ru/eng/sm/v183/i6/p87
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:274
    Russian version PDF:90
    English version PDF:10
    References:49
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024