Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 450-467.

• Articles • Previous Articles     Next Articles

Some Identities of Associative Lie Color Algebras and P-solvable Restricted Lie Color Algebras

 ZHANG Qiang-Cheng1, ZHANG Xiao-Dong1, WEI Zhu1, WANG Chun-Yue2   

  1. 1.School of |Mathematics and Statistics, Northeast Normal University, Changchun 130024|2.School of Applied Science, Jilin Teachers
    Institute of Engineering and Technology, Changchun 130052
  • Received:2010-06-27 Revised:2011-11-18 Online:2012-06-25 Published:2012-06-25
  • 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 we give some identities of associative Lie color algebras and some properties of modular Lie color algebras. We introduce the definition of p-solvable restricted Lie color algebras,obtain some necessary and/or sufficient conditions on p-sovlvable restricted Lie color algebras and p-nilpotent restricted Lie clor algebras as well as discuss the relations to p-solvability and p-nilpotency for restricted Lie color algebras.

Key words: Restricted Lie color algebras,  Associative Lie color algebras, p-solvable restricted Lie color algebras, p-nilpotent ideals

CLC Number: 

  • 14A22
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