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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 92–105
DOI: https://doi.org/10.17377/semi.2018.15.011 (Mi semr902) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

Singular 6-dimensional superalgebras

S. V. Pchelintsevab, O. V. Shashkovb

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Financial University under the Government of the Russian Federation, Leningradsky pr., 49, 125993, Moscow, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.011
Abstract: A simple right alternative superalgebra is called singular if its even part is an algebra with zero multiplication. The first example of a 5-dimensional (this is the smallest possible dimension) singular superalgebra was given by J.P. da Silva, L.S.I. Murakami and I.P. Shestakov in 2016. In the previous paper we classified singular 5-dimensional superalgebras. It is proved that there are no 6-dimensional singular superalgebras.
Keywords: simple right alternative superalgebra, singular superalgebra.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00756_а
Fundação de Amparo à Pesquisa do Estado de São Paulo 2017/04702–5
Received December 17, 2017, published February 8, 2018
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 17A70, 17D15
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Singular 6-dimensional superalgebras”, Sib. Èlektron. Mat. Izv., 15 (2018), 92–105
Citation in format AMSBIB
\Bibitem{PchSha18}
\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Singular 6-dimensional superalgebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 92--105
\mathnet{http://mi.mathnet.ru/semr902}
\crossref{https://doi.org/10.17377/semi.2018.15.011}
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