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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
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\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
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\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}
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  • 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
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