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Mathematics of the USSR-Sbornik, 1983, Volume 44, Issue 3, Pages 283–297
DOI: https://doi.org/10.1070/SM1983v044n03ABEH000968 (Mi sm2470) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On decomposability of commutators of varieties of Lie algebras and groups into products

M. V. Zaicev
English version PDF (1058 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1983v044n03ABEH000968
Abstract: Several cases are presented in which the commutator of two varieties of Lie algebras cannot be decomposed into a product. An example is constructed which shows that in the general case the commutator of two varieties of Lie algebras can turn out to be decomposable even if the given varieties do not have a common right-hand factor. This example can be carried over with appropriate modifications to varieties of groups.
Bibliography: 12 titles.
Received: 13.02.1980
Bibliographic databases:
UDC: 519.46
MSC: Primary 08B25, 17B99, 20E10; Secondary 20E05, 20E22, 20F12, 20L99
Language: English
Original paper language: Russian
Citation: M. V. Zaicev, “On decomposability of commutators of varieties of Lie algebras and groups into products”, Math. USSR-Sb., 44:3 (1983), 283–297
Citation in format AMSBIB
\Bibitem{Zai81}
\by M.~V.~Zaicev
\paper On decomposability of commutators of varieties of Lie algebras and groups into products
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 3
\pages 283--297
\mathnet{http://mi.mathnet.ru//eng/sm2470}
\crossref{https://doi.org/10.1070/SM1983v044n03ABEH000968}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=665686}
\zmath{https://zbmath.org/?q=an:0502.17009|0476.17006}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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