Siberian Mathematical Journal

, Volume 45, Issue 5, pp 860–882

Simple Special Jordan Superalgebras with Associative Even Part

  • V. N. Zhelyabin
  • I. P. Shestakov


We describe the simple special unital Jordan superalgebras with associative even part A whose odd part M is an associative module over A. We prove that each of these superalgebras, not isomorphic to a superalgebra of nondegenerate bilinear superform, is isomorphically embedded into a twisted Jordan superalgebra of vector type. We exhibit a new example of a simple special Jordan superalgebra. We also describe the superalgebras such that M∩ [A,M]≠ 0.

Jordan superalgebra (-1,1)-superalgebra twisted superalgebra of vector type differentiably simple algebra projective module localization of module 


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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • V. N. Zhelyabin
    • 1
  • I. P. Shestakov
    • 2
    • 3
  1. 1.Sobolev Institute of MathematicsNovosibirsk
  2. 2.Universidade de Sao PauloBrazil
  3. 3.Sobolev Institute of MathematicsNovosibirsk

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