| 纯拟内射模 |
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| 引用本文： | 王进伟. 纯拟内射模[J]. 数学理论与应用, 2008, 28(2): 51-53 |
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| 作者姓名： | 王进伟 |
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| 作者单位： | 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： | 本文引进了纯拟内射模的概念，讨论了该模的一些主要性质，证明了纯拟内射模保持有限直和，进一步地利用这类新模刻画了正则环的特征。
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| 关 键 词： | 纯拟内射模 纯子模 L-环 |
Pure quasi-injective modules |
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| Wang Jinwei. Pure quasi-injective modules[J]. Mathematical Theory and Applications, 2008, 28(2): 51-53 |
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| Authors: | Wang Jinwei |
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| Affiliation: | Wang Jinwei (College of Mathematics and Computer Science, Hunan Normal University, Changsha,410081) |
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| Abstract: | In this paper,the pure quasi-injective modules are introduced and some properties of pure quasiinjective modules are studied.As an application,we prove that a commutation Ris repularing if and only if every finitely cogenerated R-module is pure quasi-injective. |
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| Keywords: | pure quasi-injective module pure submodule L-ring |
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