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Sbornik: Mathematics, 2017, Volume 208, Issue 4, Pages 531–545
DOI: https://doi.org/10.1070/SM8695 (Mi sm8695) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Simple finite-dimensional right-alternative unital superalgebras with 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 (461 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM8695
Abstract: We prove that the even part of a simple finite-dimensional right-alternative unital superalgebra over a field of characteristic 0 is semisimple if it is strongly associative.
Bibliography: 13 titles.
Keywords: simple superalgebra, right-alternative superalgebra, superalgebra with strongly associative even part.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014-а
This research was supported by the Russian Foundation for Basic Research (grant no. 14-01-00014_a).
Received: 10.03.2016
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 4, Pages 73–86
DOI: https://doi.org/10.4213/sm8695
Bibliographic databases:
UDC: 512.554.5
MSC: Primary 17A70; Secondary 17D15
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part”, Mat. Sb., 208:4 (2017), 73–86; Sb. Math., 208:4 (2017), 531–545
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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