A dual Zariski topology for modules

被引:16
作者
Abuhlail, Jawad [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
关键词
Duo module; Multiplication module; Comultiplication module; Fully coprime module; Zariski topology; Dual Zariski topology; SPECTRUM; PRERADICALS;
D O I
10.1016/j.topol.2010.11.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a dual Zariski topology on the spectrum of fully coprime R-submodules of a given duo module M over an associative (not necessarily commutative) ring R. This topology is defined in a way dual to that of defining the Zariski topology on the prime spectrum of R. We investigate this topology and clarify the interplay between the properties of this space and the algebraic properties of the module under consideration. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:457 / 467
页数:11
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