Zariski Topologies for Coprime and Second Submodules

作     者：Jawad Abuhlail 

作者机构：Department of Mathematics and StatisticsKing Fahd University of Petroleum & Minerals Dhahran 31261 Saudi Arabia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2015年第22卷第1期

页      面：47-72页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：support by the Deanship of Scientific Research at King Fahd University of Petroleum & Minerals 

主　　题：dual Zariski topology multiplication module comultiplication module co-prime submodule second submodule 

摘      要：Let M be a non-zero module over an associative （not necessarily commutative） ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s（M） of second submodules of M and the spectrum Spec-c（M） of coprime submodules of M, study several properties of these spaces and investigate their internlay with the algebraic properties of M.