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Matematicheskie Zametki, 1972, Volume 12, Issue 6, Pages 713–716 (Mi mzm9936)  
This article is cited in 4 scientific papers (total in 4 papers)

Approximations of Lie algebras

Yu. A. Bakhturin

M. V. Lomonosov Moscow State University
Full-text PDF (625 kB) Citations (4)
Abstract: It is proved that a finitely generated metabelian Lie algebra over an arbitrary field can be approximated by finite-dimensional algebras and a stronger result is also obtained over fields of nonzero characteristics.
Received: 12.07.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 6, Pages 868–870
DOI: https://doi.org/10.1007/BF01156046
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: Yu. A. Bakhturin, “Approximations of Lie algebras”, Mat. Zametki, 12:6 (1972), 713–716; Math. Notes, 12:6 (1972), 868–870
Citation in format AMSBIB
\Bibitem{Bak72}
\by Yu.~A.~Bakhturin
\paper Approximations of Lie algebras
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 6
\pages 713--716
\mathnet{http://mi.mathnet.ru/mzm9936}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=314927}
\zmath{https://zbmath.org/?q=an:0249.17015}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 6
\pages 868--870
\crossref{https://doi.org/10.1007/BF01156046}
Linking options:
  • https://www.mathnet.ru/eng/mzm9936
  • https://www.mathnet.ru/eng/mzm/v12/i6/p713
    • This publication is cited in the following 4 articles:
    1. Yuri Bahturin, Alexander A. Mikhalev, Mikhail Zaicev, Handbook of Algebra, 2, 2000, 579  crossref
    2. M. V. Zaicev, “Special Lie algebras”, Russian Math. Surveys, 48:6 (1993), 111–152  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. M. V. Zaicev, “Locally representable varieties of Lie algebras”, Math. USSR-Sb., 67:1 (1990), 249–259  mathnet  crossref  mathscinet  zmath  isi
    4. M. V. Zaicev, “Residual finiteness and the Noetherian property of finitely generated Lie algebras”, Math. USSR-Sb., 64:2 (1989), 495–504  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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