Notes on McCoy Modules

作     者：Heqing ZHENG Zhi CHENG Xiaobin YIN 

作者机构：School of Mathematics and Statistics Anhui Normal University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2018年第38卷第3期

页      面：247-252页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11471017) the Natural Science Foundation of Anhui Higher Education Institutions of China(Grant No.KJ2018A0304) the Doctoral Research Foundation and the Research Culture Foundation of Anhui Normal University(Grant No.2014xmpy11) 

主　　题：McCoy module extension cokernel of monomorphism kernel of epimorphism direct sum 

摘      要：Let R be a ring with an identity and C（R） be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C（R） are closed under kernels of epimorphisms, and they are also closed under extensions and direct sums with certain conditions. We also get some results on the subcategories of McCoy modules of C（R[x]） and C(R[x; x-1]).