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, 2001, Volume 42, Number 5, Pages 1187–1192 (Mi smj1417)  
This article is cited in 8 scientific papers (total in 8 papers)

On solvability of Lie rings with an automorphism of finite order

E. I. Khukhro

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (175 kB) Citations (8)
Abstract: A new criterion for a Lie ring with a semisimple automorphism of finite order to be solvable is proved. It generalizes the effective version of Winter's criterion obtained earlier by Khukhro and Shumyatsky and by Bergen and Grzeszczuk in replacing the ideal generated by a certain set by the subring generated by this set. The proof is inspired by the original theorem of Kreknin on solvability of Lie rings with regular automorphisms of finite order and is conducted mostly in terms of Lie rings graded by a finite cyclic group.
Received: 31.10.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 996–1000
DOI: https://doi.org/10.1023/A:1011936231858
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: E. I. Khukhro, “On solvability of Lie rings with an automorphism of finite order”, Sibirsk. Mat. Zh., 42:5 (2001), 1187–1192; Siberian Math. J., 42:5 (2001), 996–1000
Citation in format AMSBIB
\Bibitem{Khu01}
\by E.~I.~Khukhro
\paper On solvability of~Lie rings with an automorphism of finite order
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 1187--1192
\mathnet{http://mi.mathnet.ru/smj1417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861646}
\zmath{https://zbmath.org/?q=an:0996.17006}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 996--1000
\crossref{https://doi.org/10.1023/A:1011936231858}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900020}
Linking options:
  • https://www.mathnet.ru/eng/smj1417
  • https://www.mathnet.ru/eng/smj/v42/i5/p1187
    • This publication is cited in the following 8 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:181
    Full-text PDF :71
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024