| 正则环上的幂问题 |
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| 引用本文： | 陈焕艮,佟文廷.正则环上的幂问题[J].数学学报,1997,40(6):815-822. |
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| 作者姓名： | 陈焕艮 佟文廷 |
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| 作者单位： | [1]湖南师范大学数学系 [2]南京大学数学系 |
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| 基金项目： | 国家自然科学基金，湖南省自然科学基金 |
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| 摘 要： | 本文研究了正则环上模的幂消去，得到了幂消去的内直和刻划．建立了正则环上的幂比较结构，从而给出了正则环上幂消去、幂的弱消去以及ｕ－正则性之间的关系
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| 关 键 词： | 幂消去，幂比较，u－正则环 |
| 收稿时间： | 1996-2-27 |
Power Problems over Regular Rings |
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| Institution: | Chen Huangen(Department of Mathematics, Hunan Normal University, Changsha 410006, China,)Tong Wenting(Department of Mathematics, Nanjing University, Nanjing 210093, China) ) |
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| Abstract: | In this paper, we study power cancellations of modules over regular rings and obtain the characterization of power cancellations on inner direct sums. Moreover, we set up the structures of power comparability over regular rings, and give the relations among power cancellation, weakly power cancellation and unit-regularity. |
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| Keywords: | Power cancellation Power comparability Unit-regularity |
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