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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 1, Pages 49–56
(Mi smj2399)
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This article is cited in 4 scientific papers (total in 4 papers)
Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng–Kac type
V. N. Zhelyabinab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We construct some examples of prime Jordan superalgebras of vector type whose odd part is a finitely generated projective module of rank 1 with arbitrarily many generators. These provide some examples of prime Jordan superalgebras of Cheng–Kac type.
Keywords:
Jordan superalgebra, vector type superalgebra, differentiably simple algebra, prime algebra, projective module.
Received: 27.09.2012
Citation:
V. N. Zhelyabin, “Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng–Kac type”, Sibirsk. Mat. Zh., 54:1 (2013), 49–56; Siberian Math. J., 54:1 (2013), 33–39
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https://www.mathnet.ru/eng/smj2399 https://www.mathnet.ru/eng/smj/v54/i1/p49
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Abstract page: | 403 | Full-text PDF : | 77 | References: | 71 | First page: | 19 |
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