| 关于AP-内射环和AGP-内射环(英文) |
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| 引用本文： | 殷晓斌,徐苗苗,祝家贵. 关于AP-内射环和AGP-内射环(英文)[J]. 数学杂志, 2010, 30(3) |
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| 作者姓名： | 殷晓斌 徐苗苗 祝家贵 |
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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. 安徽师范大学数学与计算机科学学院,安徽,芜湖,241000;皖西学院数学系,安徽,六安,237012 |
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| 基金项目： | 国家自然科学基金，NSF of Anhui Province Education Committee |
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| 摘 要： | 本文研究了AP-内射环和AGP-内射环的von Neumann正则性问题.利用P-内射环和Y J-内射环的研究方法及GW-理想的性质,得到了AP-内射环和AGP-内射环是(强)正则环的一些条件.推广了文献[7,12,14]中的相关结果.
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| 关 键 词： | AP-内射环 AGP-内射环 GW-理想 自内射正则环 |
ON AP-INJECTIVITY AND AGP-INJECTIVITY |
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| YIN Xiao-bin,XU Miao-miao,ZHU Jia-gui. ON AP-INJECTIVITY AND AGP-INJECTIVITY[J]. Journal of Mathematics, 2010, 30(3) |
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| Authors: | YIN Xiao-bin XU Miao-miao ZHU Jia-gui |
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| Affiliation: | YIN Xiao-bin~1,XU Miao-miao~1,ZHU Jia-gui~(1,2) (1.College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241000,China) (2.Department of Mathematics,West Anhui University,Liuan 237012,China) |
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| Abstract: | In this article,we study von Neumann regularity of AP-injective rings and AGP-injective rings.By using some properties of GW-ideals and some results of P-injective rings and YJ-injective rings,we obtain some conditions for AP-injective rings and AGP-injective rings to be (strongly) regular rings.These extend some corresponding results in[7,12,14]. |
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| Keywords: | AP-injective ring AGP-injective ring GW-ideal self-injective regular ring |
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