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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 385–407
DOI: https://doi.org/10.33048/smzh.2020.61.213
(Mi smj5990)
 

This article is cited in 2 scientific papers (total in 2 papers)

Simple right-alternative superalgebras with semisimple even part

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (543 kB) Citations (2)
References:
Abstract: We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type $\roman B_{n\mid n}$, $n\geq 2$, or $\roman B_{2\mid2}(\nu)$. Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.
Keywords: unital simple right-alternative superalgebra.
Received: 02.07.2019
Revised: 02.07.2019
Accepted: 25.12.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 304–321
DOI: https://doi.org/10.1134/S0037446620020135
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Sibirsk. Mat. Zh., 61:2 (2020), 385–407; Siberian Math. J., 61:2 (2020), 304–321
Citation in format AMSBIB
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\issue 2
\pages 385--407
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\crossref{https://doi.org/10.33048/smzh.2020.61.213}
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\pages 304--321
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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