| 分次环的分次Jacobson根 |
| |
| 引用本文： | 王,尧.分次环的分次Jacobson根[J].数学学报,1998,41(2):0347-0354. |
| |
| 作者姓名： | 王 尧 |
| |
| 作者单位： | 鞍山师范学院数学系 |
| |
| 基金项目： | 黑龙江省教委科研基金,鞍山师院科研基金 |
| |
| 摘 要： | 本文通过引入弱拟正则元的概念，对一般Ｍｏｎｏｉｄ分次环Ａ（未必有１）给出以内部元素刻划的分次Ｊａｃｏｂｓｏｎ根ＪＧ（Ａ）．证明当Ａ有１时，ＪＧ（Ａ）与通常定义的Ｊｇ（Ａ）相等．对ＪＧ（Ａ）性质的讨论，推广了最近的许多结果．作为应用，我们给出了Ａｒｔｉｎ分次环的全部基本结构定理．
|
| 关 键 词： | 弱左拟正则元，弱拟正则分次左理想，Smash积，分次本原环，Artin分次环 |
| 收稿时间： | 1996-1-10 |
| 修稿时间： | 1996-12-2 |
Graded Jacobson Radical of Graded Rings |
| |
| Wang Yao.Graded Jacobson Radical of Graded Rings[J].Acta Mathematica Sinica,1998,41(2):0347-0354. |
| |
| Authors: | Wang Yao |
| |
| Abstract: | In this paper, we introduce the notion of weakly quasi-regular element and give a definition of graded Jacobson radical characterized by element property for general Monoid graded rings, not necessarily with 1. We show that this graded radical is equal to the usual J g(A) when A has 1. The results here extend many recent results in new method. As an application, we obtain all basic structure theorems for artinian graded rings. |
| |
| Keywords: | Weakly left quasi-regular element Weakly quasi-regular graded left ideal Smash product Graded primitive ring Artinian graded ring |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
