ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

doi:10.1016/S0252-9602(12)60182-9

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2322-2328.doi: 10.1016/S0252-9602(12)60182-9

ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

白瑞蒲¹|刘丽丽²|Li Zhenheng³

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

收稿日期:2011-02-23 修回日期:2011-11-20 出版日期:2012-11-20 发布日期:2012-11-20
基金资助:
This work is supported in part by the National Natural Science Foundation of China (10871192) and NSF (A2010000194) of Hebei Province, China.

ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

BAI Rui-Pu¹, LIU Li-Li², Li Zhenheng³

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.

摘要/Abstract

摘要：

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.

关键词: Lie triple system, elementary Lie triple system, Φ-free Lie triple system

Abstract:

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

中图分类号:

17B05

白瑞蒲, 刘丽丽, Li Zhenheng. ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS[J]. 数学物理学报(英文版), 2012, 32(6): 2322-2328.

BAI Rui-Pu, LIU Li-Li, Li Zhenheng. ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2322-2328.

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ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

ELEMENTARY AND Φ-FREE LIE TRIPLE SYSTEMS

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