| The Frattini Subalgebra of n-Lie Algebras |
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| 作者姓名： | Rui Pu BAI Liang Yun CHEN Dao Ji MENG |
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| 作者单位： | [1]Department of Mathematics, Hebei University, Baoding 071002, P. R. China [2]Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China [3]Department of Mathematics, Nankai University, Tianjin 300071, P. R. China |
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| 基金项目： | Supported by the NSF （10270176） of China; the NSF （y2004034） of Hebei University; the NSF （2005000088） of Hebei Province, P. R. China |
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| 摘 要： |
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| 关 键 词： | n-李代数 Frattini子代数 Jacobson根 性质 相互关系 |
| 收稿时间： | 14 March 2005 |
| 修稿时间： | 2005-03-142005-06-15 |
The Frattini Subalgebra of <Emphasis Type="Italic">n</Emphasis>-Lie Algebras |
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| Rui Pu BAI Liang Yun CHEN Dao Ji MENG.The Frattini Subalgebra of n-Lie Algebras[J].Acta Mathematica Sinica,2007,23(5):847-856. |
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| Authors: | Rui Pu Bai Liang Yun Chen Dao Ji Meng |
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| Institution: | (1) Department of Mathematics, Hebei University, Baoding, 071002, P. R. China;(2) Department of Mathematics, Northeast Normal University, Changchun, 130024, P. R. China;(3) Department of Mathematics, Nankai University, Tianjin, 300071, P. R. China |
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| Abstract: | In this paper, we mainly study the structural notions of Frattini subalgebra and Jacobson radical of n-Lie algebras. The properties on Frattini subalgebra and the relationship between the Frattini subalgebra and Jacobson radical are studied. Moreover, we also study them when an n-Lie algebra is strong semi-simple, k-solvable and nilpotent. |
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| Keywords: | n-Lie algebra the Frattini algebra Jacobson radical |
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