On McCoy modules

被引：12
作者：
Cui, Jian [1 ]
Chen, Jianlong [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 01期
基金：
中国国家自然科学基金;
关键词：
McCoy module; McCoy ring; polynomial module; zip module; ARMENDARIZ RINGS; ZIP RINGS; IDEALS;
D O I：
10.4134/BKMS.2011.48.1.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Extending the notion of McCoy rings, we introduce the class of McCoy modules. Over a given ring R, it contains the class of Armendariz modules (over R). Some properties of this class of modules are established, and equivalent conditions for McCoy modules are given. Moreover, we study the relationship between a module and its polynomial module. Several known results relating to McCoy rings can be obtained as corollaries of our results.
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页码：23 / 33
页数：11
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