| Lie环的Hall幂零性准则 |
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| 引用本文： | 杨艳. Lie环的Hall幂零性准则[J]. 襄樊学院学报, 2007, 28(5): 8-10 |
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| 作者姓名： | 杨艳 |
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| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053 |
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| 摘 要： | 首先仿照幂零群的处理方式，引进幂零Lie环的下中心列，并给出Le环的下中心列商群与Lab的张量积的关系，最后根据群上的Hall幂零性准则，给出了Lie环的Hall幂零性准则，并予以证明．
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| 关 键 词： | Lie环 幂零Lie环 下中心列 |
| 文章编号： | 1009-2854（2007）05-00008-03 |
| 修稿时间： | 2006-12-18 |
The Hall Nilpotentce Rule of Lie Rings |
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| YANG Yan. The Hall Nilpotentce Rule of Lie Rings[J]. Journal of Xiangfan University, 2007, 28(5): 8-10 |
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| Authors: | YANG Yan |
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| Affiliation: | Department of Mathematics, Xiangfan University, Xiangfan 441053, China |
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| Abstract: | For a group G,we can get a associate Lie ring L(G) that will reflect some nilpotent properties of G.Then the Lie ring methods pay great important role in the studies of nilpotent groups.First of all,we give the definition of upper central series according to the way we define the nilpotent groups.Then we find the tensor product of the lower central factors and Lab.According to the Hall nilpotentce rule of groups,we give the Hall nilpotentce rule of Lie rings,and its proof. |
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| Keywords: | Lie ring Nilpotent Lie ring Lower central series |
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