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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 3, Pages 510–522
Bibliographic databases:
UDC: 519.4
MSC: 17B25
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “Projective metabelian Lie algebras of finite rank”, Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972), 510–522; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 3
\pages 510--522
\mathnet{http://mi.mathnet.ru/im2309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301064}
\zmath{https://zbmath.org/?q=an:0263.17006}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 504--517
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001886}
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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:
    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:355
    Russian version PDF:99
    English version PDF:8
    References:103
    First page:3
     
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