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Algebra i logika, 2020, Volume 59, Number 2, Pages 260–281
DOI: https://doi.org/10.33048/alglog.2020.59.206 (Mi al946) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Right alternative superalgebras of capacity 1 with strongly alternative even part

O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (280 kB) Citations (4)
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DOI: https://doi.org/10.33048/alglog.2020.59.206
Abstract: We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It is proved that the condition of being simple for such a superalgebra implies the simplicity of its even part.
Keywords: right alternative superalgebra, superalgebra of capacity 1, simple superalgebra.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2017/04702-5
Supported by FAPESP, project No. 2017/04702-5.
Received: 07.09.2019
Revised: 14.07.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 2, Pages 180–195
DOI: https://doi.org/10.1007/s10469-020-09591-y
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: O. V. Shashkov, “Right alternative superalgebras of capacity 1 with strongly alternative even part”, Algebra Logika, 59:2 (2020), 260–281; Algebra and Logic, 59:2 (2020), 180–195
Citation in format AMSBIB
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\paper Right alternative superalgebras of capacity 1 with strongly alternative even part
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\pages 260--281
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :27
    References:24
    First page:4
     
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