| 广泛的诣零内射环 |
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| 引用本文： | 赵玉娥,杜先能.广泛的诣零内射环[J].数学研究及应用,2014,34(3):278-288. |
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| 作者姓名： | 赵玉娥 杜先能 |
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| 作者单位： | 安徽大学数学科学学院, 安徽 合肥 230601; 青岛大学数学科学学院, 山东 青岛 266071;安徽大学数学科学学院, 安徽 合肥 230601 |
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| 基金项目： | 国家教育部博士点专项基金项目(Grant No.200803570003); 安徽省高等学校省级优秀青年人才基金项目(Grant No.2013SQRL071ZD). |
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| 摘 要： | The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil n-injective rings. Various results are developed, and many conclusions extend known results.
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| 关 键 词： | 半交换环 W-理想 数学分析 环论 模糊数学 内射 |
| 收稿时间： | 2012/9/13 0:00:00 |
| 修稿时间： | 2014/1/13 0:00:00 |
Generalizations of Nil-Injective Rings |
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| Yu-e ZHAO and Xianneng DU.Generalizations of Nil-Injective Rings[J].Journal of Mathematical Research with Applications,2014,34(3):278-288. |
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| Authors: | Yu-e ZHAO and Xianneng DU |
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| Institution: | School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China; College of Mathematics, Qingdao University, Shandong 266071, P. R. China;School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China; |
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| Abstract: | The definition of $AP$-injectivity motivates us to generalize the injectivity to almost wnil-injectivity and almost nil $n$-injectivity. The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil $n$-injective rings. Various results are developed, and many conclusions extend known results. |
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| Keywords: | almost wnil-injective rings almost nil-injective rings almost nil $n$-injective rings nil-injective rings nil $n$-injective rings |
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