| PS-内射环II |
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| 引用本文： | 向跃明,欧阳柏玉.PS-内射环II[J].南京大学学报(自然科学版),2012(1):39-50. |
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| 作者姓名： | 向跃明 欧阳柏玉 |
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| 作者单位： | [1]怀化学院数学与应用数学系,怀化418000 [2]湖南师范大学数学与计算机科学学院,长沙410081 |
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| 摘 要： | 本文主要研究PS-内射环，作为morphic一环的推广，我们引入了一类PS-内射环，称之为J-morphic环．给出了J-morphic环的例子和一些性质．最后还研究了在平凡扩张下的内射性．
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| 关 键 词： | PS-内射环 J0-morphic环 平凡扩张 |
PRINCIPALLY SMALL INJECTIVE RINGS II |
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| Institution: | Xiang Yueming (Department of Mathematics and Applied Mathematics, Huaihua University 418000, Huaihua PRC) Ouyang Baiyu (College of Mathematics and Computer Science, Hunan Normal University, 410081, Changsha PRC) |
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| Abstract: | The aim of this paper is to investigate the principally small injective rings. As a generalization of the morphic rings, we introduce a class of principally small injective rings which is called J-morphic rings. Some properties and examples are given. Finally, we also study the principally small injectivity under trivial ring extensions. |
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| Keywords: | principally small injective ring J-morphic ring trivial extension |
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