Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1190-1208.

• Articles • Previous Articles     Next Articles

Some Properties of Tortken Superalgebras and Classification of Low Dimensional Tortken Superalgebras

 XU Li-Yuan1, ZHANG Qiang-Cheng2, MENG Dao-Ji3   

  1. 1.Department of Mathematics, Baicheng Normal College, Jilin Baicheng 137000;
    2.School of |Mathematics and Statistics, Northeast Normal University, Changchun 130024;
    3.Department of |Mathematics and LPMC, Nankai University, Tianjin 300071
  • Received:2009-06-27 Revised:2010-06-09 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10871057)和中央高校基本科研业务费专项资金资助

Abstract:

In this paper the authors give the definition of Tortken superalgebra first, then they classfy the 2-dimensional Tortken superalgebra while A1≠{0}; they give an equivalence for a 2-dimensional superalgebra to be tortken while A1={0}; they also discuss some properties on Tortken superalgebras and  get an identity with  degree 4  on Tortken superalgebra.

Key words: Tortken superalgebra, Novikov superalgebra, Leibniz dual superalgebra

CLC Number: 

  • 14A22
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