关于闭子模的零化子条件  

On Closed-Dual Modules

作　　者：郭丽丽[1] 周德旭[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《莆田学院学报》2008年第5期14-16,共3页Journal of putian University

基　　金：福建省教育厅科技项目A类(JA05212;JA06009);福建省科技厅F5项目(2007F5038)

摘　　要：主要研究闭子模都是零化子的模与环,即闭偶模与闭偶环,刻画了闭偶模和闭偶环,给出了n阶矩阵环Mn(R)为闭偶环的一些等价条件,证明了环R是右非奇异右扩张环当且仅当R是右闭偶Baer环。In this paper, we mainly investigate modules and rings with the property that closed submodules arc annihilators, which are called closed-dual modules and closed-dual rings. We give some characterizations of these modules and rings, obtain some equivalent conditions for a matrix ring M,,（R） to be a closed-dual ring, and prove that R is a right non-singular and right extending ring if and only if R is a right closed-dual Baer ring.

关 键 词：闭偶模 零化子条件 矩阵环 

分 类 号：O153.3[理学—数学]