| 李超三系的Frattini-子系 |
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| 引用本文： | 吴险峰,陈良云. 李超三系的Frattini-子系[J]. 数学研究及应用, 2010, 30(3): 399-406. DOI: 10.3770/j.issn:1000-341X.2010.03.003 |
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| 作者姓名： | 吴险峰 陈良云 |
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| 作者单位： | 齐齐哈尔大学数学系, 黑龙江 齐齐哈尔 161006;东北师范大学数学系, 吉林 长春 130024 |
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| 基金项目： | 国家自然科学基金(Nos.10701019; 10871057) |
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| 摘 要： | In the present paper,we develop initially the Frattini theory for Lie supertriple systems,obtain some properties of the Frattini subsystem and show that the intersection of all maximal subsystems of a solvable Lie supertriple system is its ideal.Moreover,we give the relationship between φ-free and complemented for Lie supertriple system.
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| 关 键 词： | Lie supertriple systems solvable Lie supertriple systems the Frattini subsystem φ-free complemented. |
| 收稿时间： | 2008-06-16 |
| 修稿时间： | 2009-01-05 |
The Frattini Subsystem of a Lie Supertriple System |
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| Xian Feng WU and Liang Yun CHEN. The Frattini Subsystem of a Lie Supertriple System[J]. Journal of Mathematical Research with Applications, 2010, 30(3): 399-406. DOI: 10.3770/j.issn:1000-341X.2010.03.003 |
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| Authors: | Xian Feng WU and Liang Yun CHEN |
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| Affiliation: | 1. Department of Mathematics, Qiqihar University, Heilongjiang 161006, P. R. China
2. Department of Mathematics, Northeast Normal University, Jilin 130024, P. R. China |
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| Abstract: | In the present paper, we develop initially the Frattini theory for Lie supertriple systems, obtain some properties of the Frattini subsystem and show that the intersection of all maximal subsystems of a solvable Lie supertriple system is its ideal. Moreover, we give the relationship between $phi$-free and complemented for Lie supertriple system. |
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| Keywords: | Lie supertriple systems solvable Lie supertriple systems the Frattini subsystem $phi$-free complemented. |
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