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Siberian Mathematical Journal

, Volume 56, Issue 3, pp 411–424 | Cite as

(−1, 1)-Superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings

  • V. N. ZhelyabinEmail author
Article

Abstract

We establish a connection between the integral domains, the projective finitely generated modules over them, the derivations of an integral domain and the (−1, 1)-superalgebras of vector type. We study the properties of the universal associative envelopings of the simple Jordan superalgebras of vector type.

Keywords

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

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirsk State UniversityNovosibirskRussia

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