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Izvestiya: Mathematics, 2018, Volume 82, Issue 3, Pages 578–595
DOI: https://doi.org/10.1070/IM8651 (Mi im8651) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero

S. V. Pchelintsevab, O. V. Shashkovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Financial University under the Government of the Russian Federation, Moscow
English version PDF (337 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM8651
Abstract: We study simple finite-dimensional right-alternative unital superalgebras over a field of characteristic zero. We prove that if the even part of a superalgebra is associative and commutative, then the superalgebra is of Abelian type. The classification of such superalgebras is known.
Keywords: simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2017/04846-2
The second author was supported by FAPESP, Brazil (grant no. 2017/04846-2).
Received: 09.01.2017
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 3, Pages 136–153
DOI: https://doi.org/10.4213/im8651
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 17A70, 17D15, 17D05
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero”, Izv. RAN. Ser. Mat., 82:3 (2018), 136–153; Izv. Math., 82:3 (2018), 578–595
Citation in format AMSBIB
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\paper Simple finite-dimensional right-alternative unital superalgebras
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:346
    Russian version PDF:45
    English version PDF:13
    References:42
    First page:5
     
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