| 关于AP-内射环的一个注记 |
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| 引用本文： | 肖光世,殷晓斌,佟文廷. 关于AP-内射环的一个注记[J]. 数学研究及应用, 2003, 23(2): 211-216 |
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| 作者姓名： | 肖光世 殷晓斌 佟文廷 |
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| 作者单位： | 1. 南京大学数学系,江苏,南京,210093
2. 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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| 基金项目： | Supported by the NNSF of China(10071035)，the Foundation of the Education Committee of Anhui Province(2003kj166). |
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| 摘 要： | 本文的主要目的是讨论AP-内射环中的两个问题:(1)环R是正则的当且仅当R是左AP-内射的左PP-环;(2)如果R是左AP-内射环,那么R是内射环当且仅当R是弱内射环.因此我们推广了内射环的一些结果,与此同时我们还取得了一些新的结果.
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| 关 键 词： | AP-内射环 弱内射环 PP-环 |
| 收稿时间： | 2000-11-24 |
A Note on AP-Injective Rings |
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| XIAO Guang-shi,YIN Xiao-bin and TONG Wen-ting. A Note on AP-Injective Rings[J]. Journal of Mathematical Research with Applications, 2003, 23(2): 211-216 |
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| Authors: | XIAO Guang-shi YIN Xiao-bin TONG Wen-ting |
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| Affiliation: | Dept. of Math.; Nanjing University; Jiangsu; China;College of Math. & Computer Science; Anhui Normal University; Wuhu; China;Dept. of Math.; Nanjing University; Jiangsu; China |
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| Abstract: | The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right .AP-injective ring. Then R is self-injective if and only if R is weakly injective. Hence we get some new results of P-injective rings. |
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| Keywords: | AP-injective rings weakly injective rings PP-rings. |
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