| 限制李三系的半单元 |
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| 引用本文： | 刘秀娟,陈良云.限制李三系的半单元[J].数学的实践与认识,2012,42(12):243-248. |
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| 作者姓名： | 刘秀娟 陈良云 |
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| 作者单位： | 1. 佳木斯大学理学院,黑龙江佳木斯,154007
2. 东北师范大学数学与统计学院,吉林长春,130024 |
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| 基金项目： | 黑龙江教育厅科学技术研究基金 |
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| 摘 要： | 研究了限制李三系的半单元的一些重要性质,给出了若干个限制李三系是可换的条件,得到了限制李三系的有环面元基的几个条件,刻划了限制李三系的Frattini p-子系的一些性质.同时,研究了中心为零的所有元素是半单元的限制李三系的一些重要性质.
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| 关 键 词： | 限制李三系 可解李三系 半单李三系 半单元 Frattini p-子系 |
Semisimple Elements of Restricted Lie Triple Systems |
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| LIU Xiu-juan
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CHEN Liang-yun.Semisimple Elements of Restricted Lie Triple Systems[J].Mathematics in Practice and Theory,2012,42(12):243-248. |
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| Authors: | LIU Xiu-juan CHEN Liang-yun |
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| Institution: | 1.School of Science,Jiamusi University,Jiamusi 154007,China) (2.School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China) |
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| Abstract: | The present paper is devoted to some elementary properties of semisimple elements for restricted Lie triple systems.We give some conditions for the commutativity of restricted Lie triple systems,obtain some conditions for which a restricted Lie triple systems possesses a basis consisting of toral elements and characterize some properties of Frattini p-subsystem for restricted Lie triple systems.Moreover,we study some elementary properties of semisimple elements for semisimple restricted Lie triple systems. |
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| Keywords: | Restricted Lie triple systems sovable Lie triple systems semisimple Lie triple systems semisimple elements Frattini p-subsystem |
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