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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 8, Pages 55–67 (Mi fpm1189)  
This article is cited in 15 scientific papers (total in 15 papers)

Gröbner–Shirshov bases for Vinberg–Koszul–Gerstenhaber right-symmetric algebras

L. A. Bokutab, Yuqun Chenb, Yu Lib

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b South China Normal University, Guangzhou (Republic of China)
Full-text PDF (166 kB) Citations (15)
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Abstract: In this paper, we establish the composition lemma (diamond lemma) for right-symmetric algebras. As an application, we give a Gröbner–Shirshov basis for the universal enveloping right-symmetric algebra of a Lie algebra.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 5, Pages 603–612
DOI: https://doi.org/10.1007/s10958-010-9875-3
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: L. A. Bokut, Yuqun Chen, Yu Li, “Gröbner–Shirshov bases for Vinberg–Koszul–Gerstenhaber right-symmetric algebras”, Fundam. Prikl. Mat., 14:8 (2008), 55–67; J. Math. Sci., 166:5 (2010), 603–612
Citation in format AMSBIB
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\by L.~A.~Bokut, Yuqun~Chen, Yu~Li
\paper Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 8
\pages 55--67
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744933}
\elib{https://elibrary.ru/item.asp?id=12868940}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 166
\issue 5
\pages 603--612
\crossref{https://doi.org/10.1007/s10958-010-9875-3}
\elib{https://elibrary.ru/item.asp?id=15324651}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952323008}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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