Co-Hopfian Modules of Generalized Inverse Polynomials

作     者：Zhong Kui LIU Departmemt of Mathematics.Northwest Normal University,Lanzhou,730070,P.R.China E-mail:liuzk@nwnu,edu.cnYuan FAN Department of Economics,Northwest Normal Univevsity.Lanzhou,730070,P.R.China E-mail:gxsecfy@*** 

作者机构：Department of Mathematics Northwest Normal University Lanzhou 730070 P. R. China Department of Economics Northwest Normal University Lanzhou 730070 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2001年第17卷第3期

页      面：431-436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：Research supported by National Natural Science Foundation of China 19671063 

主　　题：Co-Hopfian module Generalized power series Generalized inverse polynomials 

摘      要：Let R be an associative ring not necessarily possessing an identity and （S,≤） a strictly totally ordered monoid which is also artinian and satisfies that 0≤s for any s∈*** that M is a left R-module having property （F）.It is shown that M is a co-Hopfian left R-module if and only if [MS,≤]is a co-Hopfan left [[RS,≤]]-module.