| 群分次环上的分次与无分次性质 |
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| 引用本文： | 侯波.群分次环上的分次与无分次性质[J].河北师范大学学报(自然科学版),2007,31(1):1-2,8. |
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| 作者姓名： | 侯波 |
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| 作者单位： | 河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
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| 摘 要： | 利用冲积和分次环上的群环2个工具得到了关于分次环上的分次与无分次性的3个定理,即设G是有限群,R是G分次环,如果R是分次Jacobson环(或分次素本质环或分次本质幂零环),则R是Jacobson环(或素本质环或本质幂零环).
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| 关 键 词： | Jacobson环 素本质环 本质幂零环 |
| 文章编号： | 1000-5854（2007）01-0001-02 |
| 修稿时间： | 2005-03-082005-06-20 |
On Graded and Non-graded Properties of G-graded Rings |
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| HOU Bo.On Graded and Non-graded Properties of G-graded Rings[J].Journal of Hebei Normal University,2007,31(1):1-2,8. |
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| Authors: | HOU Bo |
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| Institution: | College of Mathematics and Information Sciences,Hebei Normal University.Hebei Shijiazhuang 050016,China |
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| Abstract: | By using two useful tools,smash products and group rings of graded rings,the theorems relating graded rings and non-graded rings are gotten.Let G be a finite group and R a G-graded ring.If R is a gr-Jacobson ring(or a gr-prime essential ring,or a gr-essential nilpotent ring),then R is Jacobson ring(or prime essential ring,or essential nilpotent ring). |
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| Keywords: | Jacobson ring prime essential ring essential nilpotent ring |
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