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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1159–1176
DOI: https://doi.org/10.33048/smzh.2020.61.516 (Mi smj6045) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Finite-dimensional unital right alternative superalgebras with strongly alternative even part

O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (485 kB) Citations (1)
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DOI: https://doi.org/10.33048/smzh.2020.61.516
Abstract: We prove that a simple finite-dimensional unital right alternative superalgebra over an algebraically closed field of characteristic 0 has semisimple even part if its even part is strongly alternative.
Keywords: simple superalgebra, right alternative superalgebra, strongly alternative superalgebra.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2017/04702-5
The author is supported by the FAPESP (Brazil); no. 2017/04702–5.
Received: 28.09.2019
Revised: 20.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 926–940
DOI: https://doi.org/10.1134/S003744662005016X
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 35R30
Language: Russian
Citation: O. V. Shashkov, “Finite-dimensional unital right alternative superalgebras with strongly alternative even part”, Sibirsk. Mat. Zh., 61:5 (2020), 1159–1176; Siberian Math. J., 61:5 (2020), 926–940
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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