| n-李代数的可解性与幂零性 |
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| 引用本文： | 阎满富,陈景林.n-李代数的可解性与幂零性[J].唐山师范学院学报,2003,25(5):1-4. |
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| 作者姓名： | 阎满富 陈景林 |
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| 作者单位： | 唐山师范学院,数学系,河北,唐山,063000 |
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| 摘 要： | 给出n-李代数次理想的概念，证明幂零n-李代数的子代数都是次理想；n-李代数的次理想与其导代数相等时必为理想；n-李代数L的每个子代数都是次理想时，n-必可解等重要结果．从而给出了n-李代数的可解性与幂零性的关系．
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| 关 键 词： | n-李代数 可解性 幂零性 子代数 |
| 文章编号： | 1009-9115(2003)05-0001-04 |
| 修稿时间： | 2003年4月2日 |
The Solubility and Nilpotency of N-Lie Algebras |
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| YAN Man-fu,CHEN Jing-lin.The Solubility and Nilpotency of N-Lie Algebras[J].Journal of Tangshan Teachers College,2003,25(5):1-4. |
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| Authors: | YAN Man-fu CHEN Jing-lin |
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| Abstract: | In this paper the definition of subnormal ideal of a N-lie algebra is given. Then it is proven that every subalgebra of a N-Lie algebra is a subnormal ideal, a subnormal ideal of a N-Lie algebra which equals its derivation must be an ideal and a N-lie algebra is solvable if every subalgebra of it is a subnormal ideal. By the conclusion the relation between the solubility and nilpotency about a N-Lie algebra is shown. |
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| Keywords: | N-Lie algebras subalgebras solvable N-Lie algebras nilpotent N-Lie algebras |
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