| 模的弱消去问题和Exchange环的弱稳定条件 |
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| 引用本文： | 黎奇升,佟文廷.模的弱消去问题和Exchange环的弱稳定条件[J].数学学报,2002,45(6):1121-112. |
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| 作者姓名： | 黎奇升 佟文廷 |
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| 作者单位： | 1. 南京大学数学系,江苏,南京,210093;湖南吉首大学数学与计算机科学系,湖南,吉首,416000
2. 南京大学数学系,江苏,南京,210093 |
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| 基金项目： | 国家自然科学基金资助项目（19971046） |
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| 摘 要： | 本文研究模的弱消去问题和exchange环的弱稳定条件,给出了wsrl条件的新刻划,证明了对具有有限exchange性质的模,外弱消去等价于内弱消去并等价于自同态环满足wsrl条件.
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| 关 键 词： | 弱消去律 Exchange环 wsr1条件 qu-正则性 |
| 文章编号： | 0583-1431(2002)06-1121-06 |
| 修稿时间： | 2001年6月18日 |
Weak Cancellation of Modules and Weakly Stable Range Conditions for Exchange Rings |
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| Qi Sheng LI.Weak Cancellation of Modules and Weakly Stable Range Conditions for Exchange Rings[J].Acta Mathematica Sinica,2002,45(6):1121-112. |
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| Authors: | Qi Sheng LI |
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| Institution: | Qi Sheng LI(Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China) (Department of Mathematics and Computer Science, Jishou University, Jishou 416000, P. R. China)Wen Ting TONG (Department of Mathematics, Nanjing University, Nanjing 21 |
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| Abstract: | Abstract This paper studies weak cancellation of modules and weakly stable range condition of exchange rings, and some new charaterizations for the wsrl condition are given. For a module M with finite exchange property, it is shown that M satisfies outer weak cancellation if and only if M satisfies inner weak cancellation, which is also equivalent to that EndR(M) satisfies the wsrl condition. |
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| Keywords: | Weak cancellation Exchange rings wsrl condition gu-regularity |
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