| 李三系的扩张 |
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| 引用本文： | 赵冠华,吴辰余.李三系的扩张[J].河北师范大学学报(自然科学版),2011,35(6). |
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| 作者姓名： | 赵冠华 吴辰余 |
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| 作者单位： | 邯郸学院数学系,河北邯郸,056005 |
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| 基金项目： | 国家自然科学基金(10731070) |
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| 摘 要： | 讨论了李三系的扩张问题,得到了李三系存在非本质扩张的充要条件,研究了李三系的中心扩张,并给出了李三系的扩张与可解、幂零有关的某些性质.
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| 关 键 词： | 李三系 扩张 可解 幂零 |
The Extensions of Lie Triple Systems |
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| ZHAO Guanhua,WU Chenyu.The Extensions of Lie Triple Systems[J].Journal of Hebei Normal University,2011,35(6). |
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| Authors: | ZHAO Guanhua WU Chenyu |
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| Institution: | ZHAO Guanhua,WU Chenyu(Department of Mathematics,Handan College,Hebei Handan 056005,China) |
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| Abstract: | Extensions of Lie triple systems are introduced.Some conditions of existence for the inessential extension of Lie triple systems are obtained.Properties of central extensions of Lie triple systems are studied and some relations among extensions,nilpotency and solvability of Lie triple systems are given. |
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| Keywords: | Lie triple systems extension solvable nilpotent |
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