| Engel定理及其应用 |
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| 引用本文： | 吴险峰,陈良云.Engel定理及其应用[J].东北师大学报(自然科学版),2009,41(4). |
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| 作者姓名： | 吴险峰 陈良云 |
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| 作者单位： | 1. 齐齐哈尔大学数学系,黑龙江,齐齐哈尔,161006
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： | 国家自然科学基金资助项目，黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 给出了李超代数Engel定理的一种证明,运用Engel定理,Fitting分解及Frattini理论等得到了幂零李超代数的5个充分必要条件.
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| 关 键 词： | 幂零李超代数 Engel定理 Fitting分解 Frattini理论 |
Engle's theorem and its applications |
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| WU Xian-feng,CHEN Liang-yun.Engle's theorem and its applications[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(4). |
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| Authors: | WU Xian-feng CHEN Liang-yun |
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| Institution: | WU Xian-feng1,CHEN Liang-yun2(1.Department of Mathematics,Qiqihar University,Qiqihar 161006,China,2.School of Mathematics , Statistics,Northeast Normal University,Changchun 130024,China) |
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| Abstract: | This paper gives the proof of Engel's theorem in Lie superalgebras for arbitrary characteristic,obtain five sufficient and necessary conditions of nilpotent Lie superalgebras by means of Engel's theorem,Fitting decomposition and Frattini theory. |
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| Keywords: | nilpotent Lie superalgebra Engel's theorem Fitting decomposition Frattini theory |
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