On generalized extending modules  

作　　者：ZENG Qing-yi 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematics, Shaoguan University, Shaoguan 512005, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2007年第6期939-945,共7页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project (No. 102028) supported by the Natural Science Foundation of Zhejiang Province, China

摘　　要：A module Mis called generalized extending if for any submodule N of M, there is a direct summand K of M such that N≤K and KIN is singular. Any extending module and any singular module are generalized extending. Any homomorphic image of a generalized extending module is generalized extending. Any direct sum of a singular （uniform） module and a semi-simple module is generalized extending. A ring R is a right Co-H-ring if and only if all right R modules are generalized extending modules.A module M is called generalized extending if for any submodule N of M, there is a direct summand K of M such that N≤K and K/N is singular. Any extending module and any singular module are generalized extending. Any homomorphic image of a generalized extending module is generalized extending. Any direct sum of a singular (uniform) module and a semi-simple module is generalized extending. A ring R is a right Co-H-ring if and only if all right R modules are generalized extending modules.

关 键 词：Generalized extending modules SINGULAR Co-H-rings 

分 类 号：O153.3[理学—数学]