This article is cited in 5 papers

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

V. N. Zhelyabin<sup>ab

a</sup> 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.

UDC: 512.554

Received: 27.09.2012

 English version: Siberian Mathematical Journal, 2013, 54:1, 33–39

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