| n-李代数的扩张及其性质 |
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| 引用本文： | 赵冠华. n-李代数的扩张及其性质[J]. 贵州师范大学学报(自然科学版), 2007, 25(4): 76-77 |
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| 作者姓名： | 赵冠华 |
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| 作者单位： | 邯郸学院,数学系,河北,邯郸,056005 |
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| 摘 要： | 引入了n-李代数的扩张,得到了n-李代数存在非本质扩张的充要条件,研究了n-李代数的中心扩张,给出了n-李代数的扩张与可解、幂零有关的某些性质.
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| 关 键 词： | n-李代数 扩张 可解 幂零 |
| 文章编号： | 1004-5570（2007）04-0076-02 |
| 收稿时间： | 2007-05-24 |
| 修稿时间： | 2007-05-24 |
The extension and their properties of n-Lie algebras |
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| ZHAO Guan-hua. The extension and their properties of n-Lie algebras[J]. Journal of Guizhou Normal University(Natural Sciences), 2007, 25(4): 76-77 |
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| Authors: | ZHAO Guan-hua |
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| Affiliation: | Department of Mathematics, Handan College, Handan, Hebei 056005, China |
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| Abstract: | Extensions of n-Lie algebras are introduced. Some conditions of existence for the inessential extension of n-Lie algebras are obtained. Properties of central extensions of n-Lie algebras are studied and some relations among extensions, nilpotency, and solvability of n-Lie algebras are given. |
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| Keywords: | n-Lie algebras extension solvable nilpotent |
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