| 域R上的n次多项式群 |
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| 引用本文： | 杨扬,刘顺姬,朴勇杰.域R上的n次多项式群[J].延边大学理工学报,2007,33(3):160-162,186. |
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| 作者姓名： | 杨扬 刘顺姬 朴勇杰 |
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| 作者单位： | 延边大学理学院数学系 吉林延吉133002 |
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| 摘 要： | 定义一个集合Rn(x)并利用域R的两个运算引进了Rn(x)上的一个运算*.证明了(Rn(x),*)是交换群并给出几个特殊的正规子群,最后给出了Rn(x)的商群与加群R以及Rn(x)的商群与乘群R\{0}之间的关系.
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| 关 键 词： | 多项式群 正规子群 商群 同构 |
| 文章编号： | 1004-4353（2007）03-0160-03 |
| 修稿时间： | 2007-03-05 |
Polynomial Group of Degree n on Field R |
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| YANG Yang,LIU Shun-ji,PIAO Yong-jie.Polynomial Group of Degree n on Field R[J].Journal of Yanbian University (Natural Science),2007,33(3):160-162,186. |
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| Authors: | YANG Yang LIU Shun-ji PIAO Yong-jie |
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| Affiliation: | Department of Mathematics, College of Science, Yanbian University, Yanji Jilin 133002, China |
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| Abstract: | Rn(x) is defined as a set,and an operation * on Rn(x) is introduced by using two operations on field R.(Rn(x),*) is proved to be a commutative group and several special normal subgroups are given.Finally,relationship between the quotient group of Rn(x) and the additive group R and relationship between the quotient group of Rn(x) and the product group R\{0} are given. |
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| Keywords: | polynomial group normal group quotient group isomorphism |
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