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This article is cited in 2 scientific papers (total in 2 papers)
Simple right-alternative superalgebras with semisimple even part
S. V. Pchelintsev, O. V. Shashkov Financial University under the Government of the Russian Federation, Moscow
Abstract:
We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type $\roman B_{n\mid n}$, $n\geq 2$, or $\roman B_{2\mid2}(\nu)$. Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.
Keywords:
unital simple right-alternative superalgebra.
Received: 02.07.2019 Revised: 02.07.2019 Accepted: 25.12.2019
Citation:
S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Sibirsk. Mat. Zh., 61:2 (2020), 385–407; Siberian Math. J., 61:2 (2020), 304–321
Linking options:
https://www.mathnet.ru/eng/smj5990 https://www.mathnet.ru/eng/smj/v61/i2/p385
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Abstract page: | 174 | Full-text PDF : | 68 | References: | 29 |
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