| 拟AP-内射模的自同态环 |
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| 引用本文： | 殷晓斌,黄晓林,汪开云.拟AP-内射模的自同态环[J].山东大学学报(理学版),2010,45(6):31-34. |
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| 作者姓名： | 殷晓斌 黄晓林 汪开云 |
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| 作者单位： | 1. 安徽师范大学数学与计算机科学学院,安徽芜湖,241000
2. 陕西师范大学数学与信息科学学院,陕西西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目，安徽省教育厅自然科学研究重点项目 |
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| 摘 要： | 设R为环,MR是拟AP-内射模,S=End(MR), N(S)表示S的幂零元之集。研究了满足升链条件的环S的强正则性和半单性以及与一些特殊环的关系。
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| 关 键 词： | 拟AP-内射模 特殊的升链条件 强正则环 半单环 半阿贝尔环 |
| 收稿时间： | 2009-07-10 |
Endomorphism rings of quasi AP-injective modules |
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| YIN Xiao-bin,HUANG Xiao-lin,WANG Kai-yun.Endomorphism rings of quasi AP-injective modules[J].Journal of Shandong University,2010,45(6):31-34. |
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| Authors: | YIN Xiao-bin HUANG Xiao-lin WANG Kai-yun |
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| Institution: | 1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000, Anhui China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi，China |
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| Abstract: | Let R be a ring, MR be a quasi AP-injective module, S=End(MR), N(S) be a set of nilpotents of S. Suppose that S satisfing the special ascending chain conditions, the strong regularity and the semisimplicity of S are investigated, the realationship between S and some special rings are obtained. |
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| Keywords: | quasi AP-injective modules special ascending chain condition strongly regular rings semisimple rings semiabelian rings |
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