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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1401–1407 (Mi smj1379)  
This article is cited in 7 scientific papers (total in 7 papers)

Test sets in free metabelian Lie algebras

I. V. Chirkov, M. A. Shevelin

Omsk State University
Full-text PDF (170 kB) Citations (7)
Abstract: We calculate the test rank of a finite rank free metabelian Lie algebra over an arbitrary field and characterize the test sets for these algebras. We prove that each automorphism that is the identity modulo the derived subalgebra and that acts as the identity on some test set is an inner automorphism.
Keywords: ree metabelian Lie algebra, automorphism, test set, test rank.
Received: 19.03.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1135–1140
DOI: https://doi.org/10.1023/A:1021185821646
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: I. V. Chirkov, M. A. Shevelin, “Test sets in free metabelian Lie algebras”, Sibirsk. Mat. Zh., 43:6 (2002), 1401–1407; Siberian Math. J., 43:6 (2002), 1135–1140
Citation in format AMSBIB
\Bibitem{ChiShe02}
\by I.~V.~Chirkov, M.~A.~Shevelin
\paper Test sets in free metabelian Lie algebras
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1401--1407
\mathnet{http://mi.mathnet.ru/smj1379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946239}
\zmath{https://zbmath.org/?q=an:1035.17008}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1135--1140
\crossref{https://doi.org/10.1023/A:1021185821646}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300016}
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  • https://www.mathnet.ru/eng/smj/v43/i6/p1401
    • 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
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