| 广义N-半正则环 |
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| 引用本文： | 殷晓斌,王瑞.广义N-半正则环[J].杭州师范学院学报(自然科学版),2011,10(2). |
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| 作者姓名： | 殷晓斌 王瑞 |
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| 作者单位： | 安徽师范大学数学与计算机科学学院,安徽,芜湖,241000 |
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| 摘 要： | 介绍了AP-内射环的推广-广义N-半正则环,主要得到了R是强正则环当且仅当R是约化的广义N-半正则环.文章研究了广义N-半正则环的性质且对AP-内射环的某些结果进行了推广.
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| 关 键 词： | AP-内射环 广义N-半正则环 强正则环 |
Generalized N-Semiregular Rings |
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| YIN Xiao-bin,WANG Rui.Generalized N-Semiregular Rings[J].Journal of Hangzhou Teachers College(Natural Science),2011,10(2). |
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| Authors: | YIN Xiao-bin WANG Rui |
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| Abstract: | This article introduces a generalization of AP-injective rings-generalized N-semiregular rings, and mainly obtains that R is a strongly regular ring if and only if R is a reduced and generalied N-semiregular ring. The paper also studies some properties of generalized N-semiregular rings are extends some results about AP-injective rings. |
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| Keywords: | AP-injective rings generalized N-semiregular rings strongly regular rings |
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