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Sbornik: Mathematics, 2017, Volume 208, Issue 2, Pages 223–236
DOI: https://doi.org/10.1070/SM8678 (Mi sm8678) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part

S. V. Pchelintsevab, O. V. Shashkova

a Financial University under the Government of the Russian Federation, Moscow
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
English version PDF (482 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM8678
Abstract: It is shown that a simple finite-dimensional right-alternative unital superalgebra with semisimple strongly associative even part over a field of characteristic $\ne 2$ is either non-associative, or a superalgebra of Abelian type. A classification of such superalgebras over an algebraically closed field is given.
Bibliography: 21 titles.
Keywords: simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014-а
This work was supported by the Russian Foundation for Basic Research (grant no. 14-01-00014-a).
Received: 22.02.2016 and 30.11.2016
Bibliographic databases:
UDC: 512.554.5
MSC: 17A70, 17D15
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part”, Sb. Math., 208:2 (2017), 223–236
Citation in format AMSBIB
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\pages 223--236
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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