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Matematicheskie Zametki, 2016, Volume 100, Issue 4, Pages 577–585
DOI: https://doi.org/10.4213/mzm10880 (Mi mzm10880) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (476 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm10880
Abstract: An algebra obtained by the external adjoining a unit to a nilalgebra is said to be unitary. It is proved that every simple finite-dimensional right alternative superalgebra with unitary even part over a field of characteristic $0$ is associative.
Keywords: simple superalgebra, simple finite-dimensional right alternative superalgebra, unital superalgebra, radical.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014
This work was supported by the Russian Foundation for Basic Research under grant 14-01-00014.
Received: 28.06.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 4, Pages 589–596
DOI: https://doi.org/10.1134/S0001434616090303
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$”, Mat. Zametki, 100:4 (2016), 577–585; Math. Notes, 100:4 (2016), 589–596
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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