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Matematicheskie Zametki, 1968, Volume 4, Issue 4, Pages 387–398 (Mi mzm9460)  
This article is cited in 5 scientific papers (total in 5 papers)

Two remarks on varieties of Lie algebras

Yu. A. Bakhturin

M. V. Lomonosov Moscow State University
Full-text PDF (1630 kB) Citations (5)
Abstract: The varieties of Lie algebras in which every subalgebra of the free algebra is also free are completely described, and a proof is given for a theorem on the verbal ideals of the ideals of an absolutely free Lie algebra.
Received: 26.12.1967
English version:
Mathematical Notes, 1968, Volume 4, Issue 4, Pages 725–730
DOI: https://doi.org/10.1007/BF01093709
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: Yu. A. Bakhturin, “Two remarks on varieties of Lie algebras”, Mat. Zametki, 4:4 (1968), 387–398; Math. Notes, 4:4 (1968), 725–730
Citation in format AMSBIB
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\by Yu.~A.~Bakhturin
\paper Two remarks on varieties of Lie algebras
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 4
\pages 387--398
\mathnet{http://mi.mathnet.ru/mzm9460}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=241484}
\zmath{https://zbmath.org/?q=an:0186.34304}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 4
\pages 725--730
\crossref{https://doi.org/10.1007/BF01093709}
Linking options:
  • https://www.mathnet.ru/eng/mzm9460
  • https://www.mathnet.ru/eng/mzm/v4/i4/p387
    • This publication is cited in the following 5 articles:
    1. N. A. Ismailov, F. A. Mashurov, B. K. Sartayev, “On algebras embeddable into bicommutative algebras”, Communications in Algebra, 2024, 1  crossref
    2. A. V. Mikhalev, “Algebras with single defining relation”, J. Math. Sci., 283:6 (2024), 919–928  mathnet  crossref
    3. V. A. Artamonov, A. V. Klimakov, A. A. Mikhalev, A. V. Mikhalev, “Primitive and almost primitive elements of Schreier varieties”, J. Math. Sci., 237:2 (2019), 157–179  mathnet  crossref  elib
    4. T. M. Baranovich, M. S. Burgin, “Linear $\Omega$-algebras”, Russian Math. Surveys, 30:4 (1975), 65–113  mathnet  crossref  mathscinet  zmath
    5. M. S. Burgin, “Schreier varieties of linear $\Omega$-algebras”, Math. USSR-Sb., 22:4 (1974), 561–579  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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