| 关于UR-环 |
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| 作者姓名： | 应志领 陈建龙 |
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| 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 |
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| 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). |
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| 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.
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| 关 键 词： | UR-环 清洁环 规则环 环论 |
| 收稿时间： | 2007-03-20 |
| 修稿时间： | 2007-11-22 |
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