Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (6): 2322-2328.doi: 10.1016/S0252-9602(12)60182-9

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ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

 BAI Rui-Pu1, LIU Li-Li2, Li Zhenheng3   

  1. 1.College of Mathematics and Computer Science, Hebei University, Baoding 071002, China; 2.Department of Logistics, Hebei Econmy Management School, Shijiazhuang 050071, China; 3.Department of Mathematical Sciences, University of South Carolina Aiken, Aiken, SC 29801, USA
  • Received:2011-02-23 Revised:2011-11-20 Online:2012-11-20 Published:2012-11-20
  • Supported by:

    This work is supported in part by the National Natural Science Foundation of China (10871192) and NSF (A2010000194) of Hebei Province, China.

Abstract:

We introduce elementary and Φ-free Lie triple systems and study the proper-ties of these systems. In particular, structures of subsystems of an elementary Lie triple system and a class of Φ-free Lie triple systems are investigated.

Key words: Lie triple system, elementary Lie triple system,  Φ-free Lie triple system

CLC Number: 

  • 17B05
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