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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 592–599 (Mi smj1092)  
This article is cited in 5 scientific papers (total in 5 papers)

The Magnus embedding for right-symmetric algebras

D. Kh. Kozybaev, U. U. Umirbaev

L. N. Gumilev Eurasian National University
Full-text PDF (203 kB) Citations (5)
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Abstract: We construct a basis for the universal multiplicative enveloping algebra $U(A)$ of a right-symmetric algebra $A$. We prove an analog of the Magnus embedding for right-symmetric algebras; i.e., we prove that a right-symmetric algebra $A/R^2$, where $A$ is a free right-symmetric algebra, is embedded into the algebra of triangular matrices of the second order.
Keywords: right-symmetric algebra, Magnus embedding, universal enveloping algebra.
Received: 16.06.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 488–494
DOI: https://doi.org/10.1023/B:SIMJ.0000028613.67475.35
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: D. Kh. Kozybaev, U. U. Umirbaev, “The Magnus embedding for right-symmetric algebras”, Sibirsk. Mat. Zh., 45:3 (2004), 592–599; Siberian Math. J., 45:3 (2004), 488–494
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 3
\pages 488--494
\crossref{https://doi.org/10.1023/B:SIMJ.0000028613.67475.35}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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