结合李Color代数的等式与P -可解限制李Color代数

数学物理学报 ›› 2012, Vol. 32 ›› Issue (3): 450-467.

结合李Color代数的等式与P -可解限制李Color代数

张庆成¹, 张小东¹, 魏竹¹, 王春月²

1.东北师范大学数学与统计学院 |长春 130024|2.吉林工程技术师范学院应用科学系\quad 长春 130052

收稿日期:2010-06-27 修回日期:2011-11-18 出版日期:2012-06-25 发布日期:2012-06-25
基金资助:
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.

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.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.

摘要/Abstract

摘要：

给出了结合李Color代数的一些等式及模李Color代数的一些性质,引入了P -可解限制李Color代数, 获得了P -可解限制李Color代数及P -幂零限制李Color代数的一些充分条件和必要条件, 得到了两者之间的一些关系.

关键词: 结合李Color代数, 限制李Color代数, P -可解限制李Color代数, P -幂零理想

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

中图分类号:

14A22

张庆成, 张小东, 魏竹, 王春月. 结合李Color代数的等式与P -可解限制李Color代数[J]. 数学物理学报, 2012, 32(3): 450-467.

ZHANG Qiang-Cheng, ZHANG Xiao-Dong, WEI Zhu, WANG Chun-Yue. Some Identities of Associative Lie Color Algebras and P-solvable Restricted Lie Color Algebras[J]. Acta mathematica scientia,Series A, 2012, 32(3): 450-467.