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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 6, Pages 67–83
DOI: https://doi.org/10.26907/0021-3446-2021-6-67-83 (Mi ivm9687) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Algebraically generated superalgebras

S. V. Pchelintsevab, O. V. Shashkova

a Financial University under the Government of the Russian Federation, 49 Leningradsky Ave., Moscow, 125167 Russia
b Moscow State University, 1 Lenin Hills, Moscow, 119991 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-6-67-83
Abstract: A simple right-alternative superalgebra whose even part has zero multiplication is called singular. In the paper, finite-dimensional algebraically generated singular superalgebras with a non-degenerate switch are introduced and studied. A special case of such algebras, namely, linearly generated superalgebras, was previously classified by the authors. The construction of the extended double is given in the paper and it is proved that an algebraically generated singular superalgebra with a non-degenerate switch is an extended double. It is also shown that for any number $d\geq32$ there exists a $d$ -dimensional extended double.
Keywords: simple right-alternative superalgebra, singular superalgebra, non-degenerate switch, extended double.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
Received: 21.06.2020
Revised: 12.09.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 6, Pages 57–72
DOI: https://doi.org/10.3103/S1066369X21060074
Document Type: Article
UDC: 512.554
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Algebraically generated superalgebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6, 67–83; Russian Math. (Iz. VUZ), 65:6 (2021), 57–72
Citation in format AMSBIB
\Bibitem{PchSha21}
\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Algebraically generated superalgebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 6
\pages 67--83
\mathnet{http://mi.mathnet.ru/ivm9687}
\crossref{https://doi.org/10.26907/0021-3446-2021-6-67-83}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 6
\pages 57--72
\crossref{https://doi.org/10.3103/S1066369X21060074}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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