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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 4, Pages 97–106 (Mi fpm795)  
This article is cited in 5 scientific papers (total in 5 papers)

Free Malcev superalgebra on one odd generator and related superalgebras

N. M. Zhukavetsa, I. P. Shestakovbc

a Czech Technical University
b Universidade de São Paulo, Instituto de Matemática e Estatística
c Universidade de São Paulo
Full-text PDF (142 kB) Citations (5)
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Abstract: A base of the universal multiplicative envelope of the free Malcev superalgebra $\mathcal M$ on one odd generator is constructed. Some corollaries for skew-symmetric functions and central elements in free Malcev and free alternative algebras are obtained. Moreover, a base of the Poisson–Malcev superalgebra of $\mathcal M$ is constructed. As a corollary, a set of elements that spans the free alternative superalgebra on one odd generator is obtained.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 2, Pages 243–249
DOI: https://doi.org/10.1007/s10958-007-0421-x
Bibliographic databases:
UDC: 512.554+512.554.5+512.554.38
Language: Russian
Citation: N. M. Zhukavets, I. P. Shestakov, “Free Malcev superalgebra on one odd generator and related superalgebras”, Fundam. Prikl. Mat., 10:4 (2004), 97–106; J. Math. Sci., 140:2 (2007), 243–249
Citation in format AMSBIB
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\by N.~M.~Zhukavets, I.~P.~Shestakov
\paper Free Malcev superalgebra on one odd generator and related superalgebras
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 4
\pages 97--106
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2142511}
\zmath{https://zbmath.org/?q=an:1072.17016}
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\transl
\jour J. Math. Sci.
\yr 2007
\vol 140
\issue 2
\pages 243--249
\crossref{https://doi.org/10.1007/s10958-007-0421-x}
\elib{https://elibrary.ru/item.asp?id=13558579}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845867680}
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  • https://www.mathnet.ru/eng/fpm/v10/i4/p97
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:51
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