J4 ›› 2011, Vol. 49 ›› Issue (04): 674-678.

Previous Articles     Next Articles

Nilpotent Ideals of Lie Color Triple Systems

JIA Zhipeng, ZHANG Qingcheng   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2010-10-18 Online:2011-07-26 Published:2011-08-16
  • Contact: ZHANG Qingcheng E-mail:zhangqc569@nenu.edu.cn

Abstract:

The authors extended some conclusions of the Lie color algebras to Lie color triple systems, and discussed the nilpotent ideal of Lie color algebras and Lie color triple systems. Finally the authors presented the relation between nilpotency and solvability in Lie color triple systems.

Key words: Lie color triple system, nilpotent ideal, nil radical, standard embedded, solvability

CLC Number: 

  • O152.5