Notes on McCoy Modules

被引：2
|
作者：
Heqing ZHENG [1 ]
Zhi CHENG [1 ]
Xiaobin YIN [1 ]
机构：
[1] School of Mathematics and Statistics, Anhui Normal University
来源：
JournalofMathematicalResearchwithApplications | 2018年 / 38卷 / 03期
基金：
中国国家自然科学基金;
关键词：
McCoy module; extension; cokernel of monomorphism; kernel of epimorphism; direct sum;
D O I：
暂无
中图分类号：
O153.3 [环论];
学科分类号：
070104 ;
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;]).
引用
收藏
页码：247 / 252
页数：6
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