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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 3, Pages 504–517
DOI: https://doi.org/10.1070/IM1972v006n03ABEH001886 (Mi im2309) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Projective metabelian Lie algebras of finite rank

V. A. Artamonov
English version PDF (475 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n03ABEH001886
Abstract: In this paper we study the connection between free projective metabelian Lie algebras of finite rank and Serre's problem. We prove that projective metabelian Lie algebras of rank two are free.
Received: 14.10.1971
Bibliographic databases:
UDC: 519.4
MSC: 17B25
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “Projective metabelian Lie algebras of finite rank”, Math. USSR-Izv., 6:3 (1972), 504–517
Citation in format AMSBIB
\Bibitem{Art72}
\by V.~A.~Artamonov
\paper Projective metabelian Lie algebras of finite rank
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 504--517
\mathnet{http://mi.mathnet.ru/eng/im2309}
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301064}
\zmath{https://zbmath.org/?q=an:0263.17006}
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  • https://doi.org/10.1070/IM1972v006n03ABEH001886
  • https://www.mathnet.ru/eng/im/v36/i3/p510
    • This publication is cited in the following 6 articles:
    1. E. Yu. Daniyarova, “Metabelevy U-algebry Li”, Sib. elektron. matem. izv., 5 (2008), 355–382  mathnet  mathscinet  elib
    2. E. Yu. Daniyarova, I. V. Kazatchkov, V. N. Remeslennikov, “Algebraic geometry over free metabelian Lie algebras. I. U-algebras and universal classes”, J. Math. Sci., 135:5 (2006), 3292–3310  mathnet  crossref  mathscinet  zmath
    3. V. A. Artamonov, “Projective metabelian groups and Lie algebras”, Math. USSR-Izv., 12:2 (1978), 213–223  mathnet  crossref  mathscinet  zmath
    4. V. A. Artamonov, “Proektivnye metabelevy gruppy i algebry Li”, UMN, 32:3(195) (1977), 166–166  mathnet  mathscinet  zmath
    5. L. N. Vaserstein, A. A. Suslin, “Serre's problem on projective modules over polynomial rings, and algebraic K-theory”, Math. USSR-Izv., 10:5 (1976), 937–1001  mathnet  crossref  mathscinet  zmath
    6. V. A. Artamonov, “Orbits of the group GL(r,k[X1,…,Xn])”, Math. USSR-Izv., 8:3 (1974), 490–500  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:440
    Russian version PDF:116
    English version PDF:22
    References:127
    First page:3
     
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