| 模消去的Morita Contexts |
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| 引用本文： | 陈焕艮,秦厚荣.模消去的Morita Contexts[J].数学年刊A辑(中文版),2004(1). |
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| 作者姓名： | 陈焕艮 秦厚荣 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院，南京大学数学系 长沙 410081，南京 210093 |
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| 摘 要： | 证明了置换环上n-稳定秩条件关于Morita Context是遗传的;进一步把该结果推广到了强可分环,从而提供了新的具有模消去的置换环。
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| 关 键 词： | n-稳定秩条件 强可分环 Morita Context |
MORITA CONTEXTS WITH CANCELLATION OF MODULES |
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| CHEN Huanyin QIN Hourong.MORITA CONTEXTS WITH CANCELLATION OF MODULES[J].Chinese Annals of Mathematics,2004(1). |
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| Authors: | CHEN Huanyin QIN Hourong |
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| Institution: | CHEN Huanyin QIN Hourong
Department of Mathematics,Hunan Normal University,Changsha 410006,China. Department of Mathematics,Nanjing University,Nanjing 210093,China. |
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| Abstract: | It is shown that n-stable range conditions over exchange rings can be inherited by general contexts. By introducing strongly separative modules, the authors extend this result to strongly separative rings. These provide new classes of exchange rings with cancellations of modules. |
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| Keywords: | Stable range conditions Strong separativity Morita context |
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