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Algebra Logika, 2020, Volume 59, Number 2, Pages 260–281 (Mi al946)  

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

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.


DOI: https://doi.org/10.33048/alglog.2020.59.206

Full text: PDF file (280 kB)
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English version:
Algebra and Logic, 2020, 59:2, 180–195

Bibliographic databases:

UDC: 512.554.5
Received: 07.09.2019
Revised: 14.07.2020

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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\by O.~V.~Shashkov
\paper Right alternative superalgebras of capacity 1 with strongly alternative even part
\jour Algebra Logika
\yr 2020
\vol 59
\issue 2
\pages 260--281
\mathnet{http://mi.mathnet.ru/al946}
\crossref{https://doi.org/10.33048/alglog.2020.59.206}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 2
\pages 180--195
\crossref{https://doi.org/10.1007/s10469-020-09591-y}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088784277}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. V. Shashkov, “Konechnomernye pravoalternativnye unitalnye superalgebry s silno alternativnoi chetnoi chastyu”, Sib. matem. zhurn., 61:5 (2020), 1159–1176  mathnet  crossref
    2. Shashkov V O., “on the Wedderburn'S Principal Theorem in Right Alternative Superalgebras of Capacity 1”, Sib. Electron. Math. Rep., 17 (2020), 1571–1579  mathnet  crossref  mathscinet  zmath  isi  scopus
  • Алгебра и логика Algebra and Logic
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