| 关于主伪内射模 |
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| 引用本文： | 韩仑,陈淼森.关于主伪内射模[J].数学研究,2009,42(2):154-159. |
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| 作者姓名： | 韩仑 陈淼森 |
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| 作者单位： | 浙江师范大学数学系,浙江,金华,321004 |
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| 摘 要： | 对于环R．一个右R模被叫做主伪内射模。若每一个从M的主子模到M的单同态可以扩张为M的自同态．主伪内射是主拟内射的推广．在本文中，我们给出了一些主伪内射的性质并讨论什么情况下主伪内射模是主拟内射模的问题．
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| 关 键 词： | 主拟内射 主伪内射 自同态环 CS |
On Principally Pseudo-Injective Modules |
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| Han Lun,Chen Miaosen.On Principally Pseudo-Injective Modules[J].Journal of Mathematical Study,2009,42(2):154-159. |
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| Authors: | Han Lun Chen Miaosen |
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| Institution: | Han Lun Chen Miaosen(Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004) |
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| Abstract: | Let R be a ring. An R-module M is called principally pseudo-injective if each R-monomorphism from n principal submodule of M to M can be extended to an endomorphism of M. Principally pseudo-injective is a generalization of principally quasi -injective. In this paper, we give several properties of principally pseudo-injective, and discuss the question of when a principally pseudo-injective module is principally quasi-injective. |
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| Keywords: | CS principally quasi-injective principally pseudo-injective endomorphism ring CS |
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