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Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng-Kac type

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics Novosibirsk State University, Novosibirsk, Russia

    V. N. Zhelyabin

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  1. V. N. Zhelyabin
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Correspondence to V. N. Zhelyabin.

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Original Russian Text Copyright © 2013 Zhelyabin V.N.

The author was supported by the Russian Foundation for Basic Research (Grant 11-01-00938-a), the Program “Development of the Scientific Potential of Higher School” of the Russian Federal Agency for Education (Grant 2.1.1.419), and the Federal Target Program “Scientific and Scientific-Pedagogical Personnel of Innovative Russia” for 2009–2013 (State Contract 14.740.11.0346).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 1, pp. 49–56, January–February, 2013.

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Zhelyabin, V.N. Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng-Kac type. Sib Math J 54, 33–39 (2013). https://doi.org/10.1134/S0037446613010059

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