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Mathematics of the USSR-Sbornik, 1993, Volume 74, Issue 1, Pages 101–110
DOI: https://doi.org/10.1070/SM1993v074n01ABEH003337
(Mi sm1372)
 

This article is cited in 12 scientific papers (total in 12 papers)

Prime Malcev superalgebras

I. P. Shestakov
References:
Abstract: It is proved that any prime Malcev superalgebra of characteristic 2,3 with nonzero odd part is a Lie superalgebra.
Received: 08.08.1990
Bibliographic databases:
UDC: 512
MSC: Primary 17D10; Secondary 17B70
Language: English
Original paper language: Russian
Citation: I. P. Shestakov, “Prime Malcev superalgebras”, Math. USSR-Sb., 74:1 (1993), 101–110
Citation in format AMSBIB
\Bibitem{She91}
\by I.~P.~Shestakov
\paper Prime Malcev superalgebras
\jour Math. USSR-Sb.
\yr 1993
\vol 74
\issue 1
\pages 101--110
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\crossref{https://doi.org/10.1070/SM1993v074n01ABEH003337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1133574}
\zmath{https://zbmath.org/?q=an:0774.17007|0742.17007}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..74..101S}
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Linking options:
  • https://www.mathnet.ru/eng/sm1372
  • https://doi.org/10.1070/SM1993v074n01ABEH003337
  • https://www.mathnet.ru/eng/sm/v182/i9/p1357
  • This publication is cited in the following 12 articles:
    1. David Chester, Alessio Marrani, Michael Rios, Klee Irwin, “Flipped SU(5) GUT with conformal gravity from a single supermultiplet”, J. Phys.: Conf. Ser., 2912:1 (2024), 012040  crossref
    2. Yinuo Zhao, Liangyun Chen, “Super Kupershmidt operators and Kupershmidt-Nijenhuis structures on Malcev superalgebras”, Communications in Algebra, 51:11 (2023), 4686  crossref
    3. A. N. Grishkov, I. P. Shestakov, M. N. Rasskazova, “Novye primery binarno lievykh superalgebr i algebr”, Algebra i logika, 60:6 (2021), 557–568  mathnet  crossref
    4. Piero Truini, Alessio Marrani, Michael Rios, Klee Irwin, “Space, Matter and Interactions in a Quantum Early Universe. Part II: Superalgebras and Vertex Algebras”, Symmetry, 13:12 (2021), 2289  crossref
    5. Alexey Kuz'min, Ivan Shestakov, “Basic superranks for varieties of algebras”, Journal of Algebra, 478 (2017), 58  crossref
    6. Manuel Arenas, “On Simple Completely Reducible Binary-Lie Superalgebras over sl<sub>2</sub>(F)”, APM, 05:05 (2015), 314  crossref
    7. Alexey Kuz'min, “Nonfinitely Based Varieties of Right Alternative Metabelian Algebras”, Communications in Algebra, 43:8 (2015), 3169  crossref  mathscinet  zmath
    8. Alberto Elduque, “A note on semiprime Malcev superalgebras”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 123:05 (2011), 887  crossref  mathscinet
    9. Helena Albuquerque, Saı̈d Benayadi, “Quadratic Malcev superalgebras”, Journal of Pure and Applied Algebra, 187:1-3 (2004), 19  crossref  mathscinet  zmath
    10. Vasilovsky S., “Graded Polynomial Identities of the Jordan Superalgebra of a Bilinear Form”, J. Algebra, 184:1 (1996), 255–296  crossref  mathscinet  zmath  isi
    11. Elduque A., Shestakov I., “Irreducible Non-Lie Modules for Malcev Superalgebras”, J. Algebra, 173:3 (1995), 622–637  crossref  mathscinet  zmath  isi
    12. Helena Albuquerque, Non-Associative Algebra and Its Applications, 1994, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:399
    Russian version PDF:142
    English version PDF:21
    References:70
    First page:3
     
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