| 伪内射模与主伪内射模 |
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| 引用本文： | 杜先能,赵春娥. 伪内射模与主伪内射模[J]. 数学研究及应用, 2007, 27(2): 223-228 |
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| 作者姓名： | 杜先能 赵春娥 |
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| 作者单位： | 安徽大学数学与计算科学学院,安徽,合肥,230039 |
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| 摘 要： | 本文研究了伪内射模与主伪内射模,它们分别是拟内射模与PQ-内射模的推广．伪内射模是对偶于伪投射模的．我们讨论了伪内射模与主伪内射模的性质及其自同态环,并得到了自同态环的Jacobson根的若干性质．
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| 关 键 词： | 伪内射模 主伪内射模 主自生成子 自同态环 Jacobon根 |
| 文章编号： | 1000-341X(2007)02-0223-06 |
| 收稿时间： | 2005-09-27 |
| 修稿时间： | 2006-07-02 |
Pseudo-Injective Modules and Principally Pseudo-Injective Modules |
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| DU Xian-neng and ZHAO Chun-e. Pseudo-Injective Modules and Principally Pseudo-Injective Modules[J]. Journal of Mathematical Research with Applications, 2007, 27(2): 223-228 |
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| Authors: | DU Xian-neng and ZHAO Chun-e |
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| Affiliation: | School of Mathematics and Computational Sciences, Anhui University, Hefei 230039, China;School of Mathematics and Computational Sciences, Anhui University, Hefei 230039, China |
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| Abstract: | Considered in this paper axe pseudo-injective modules and principally pseudoinjective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings. |
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| Keywords: | pseudo-injective principally pseudo-injective idempotent principal self-generator endomorphism ring Jacobson radical |
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