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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 1, Pages 49–78
DOI: https://doi.org/10.1070/SM1974v024n01ABEH001905
(Mi sm3744)
 

This article is cited in 2 scientific papers (total in 3 papers)

On free products of restricted Lie algebras

G. P. Kykin
References:
Abstract: The results of A. I. Shirshov (RZh.Mat., 1962, № 8, A215) and the author (RZh.Mat., 1972, № 9, A237, 1973, № 7, A281) on free products of Lie algebras and on free restricted Lie algebras (i.e. Lie $p$-algebras) are carried over to free products of Lie $p$-algebras.
$p$-subalgebras of the free product of Lie $p$-algebras with amalgamated $p$-subalgebra are described in terms of generators and defining relations. It is shown that a $p$-subalgebra $F$ of the free product of Lie $p$-algebras $H_\alpha$ with amalgamated $p$-subalgebra $C$ is free if $F\cap C=0$ and $F\cap H_\alpha$ are free Lie $p$-algebras.
Bibliography: 13 titles.
Received: 17.12.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 1(9), Pages 53–83
Bibliographic databases:
UDC: 519.48
MSC: 17B50, 17B65, 17B05
Language: English
Original paper language: Russian
Citation: G. P. Kykin, “On free products of restricted Lie algebras”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 53–83; Math. USSR-Sb., 24:1 (1974), 49–78
Citation in format AMSBIB
\Bibitem{Kuk74}
\by G.~P.~Kykin
\paper On free products of restricted Lie algebras
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 1(9)
\pages 53--83
\mathnet{http://mi.mathnet.ru/sm3744}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=366995}
\zmath{https://zbmath.org/?q=an:0327.17005}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 1
\pages 49--78
\crossref{https://doi.org/10.1070/SM1974v024n01ABEH001905}
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  • https://doi.org/10.1070/SM1974v024n01ABEH001905
  • https://www.mathnet.ru/eng/sm/v137/i1/p53
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:329
    Russian version PDF:94
    English version PDF:19
    References:54
     
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