| 关于UR-环 |
| |
| 引用本文： | 应志领,陈建龙.关于UR-环[J].数学研究及应用,2009,29(2):355-361. |
| |
| 作者姓名： | 应志领 陈建龙 |
| |
| 作者单位： | 东南大学数学系, 江苏 南京 210096;东南大学数学系, 江苏 南京 210096 |
| |
| 基金项目： | 国家自然科学基金(No.10571026); 江苏省自然科学基金(No.2005207). |
| |
| 摘 要： | A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and （S, 2）-ring~. Some relations of these rings are studied and several properties of clean rings and （S, 2）-rings are extended. PAng extensions of UR-rings are also investigated.
|
| 关 键 词： | UR-环 清洁环 规则环 环论 |
| 收稿时间： | 2007/3/20 0:00:00 |
| 修稿时间： | 2007/11/22 0:00:00 |
On UR-Rings |
| |
| YING Zhi Ling and CHEN Jian Long.On UR-Rings[J].Journal of Mathematical Research with Applications,2009,29(2):355-361. |
| |
| Authors: | YING Zhi Ling and CHEN Jian Long |
| |
| Institution: | Department of Mathematics, Southeast University, Jiangsu 210096, China;Department of Mathematics, Southeast University, Jiangsu 210096, China |
| |
| Abstract: | A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and $(S,2)$-rings. Some relations of these rings are studied and several properties of clean rings and $(S,2)$-rings are extended. Ring extensions of UR-rings are also investigated. |
| |
| Keywords: | clean rings $G$-clean rings regular rings $(S 2)$-rings UR-rings |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
