A Dual Zariski Topology for Modules
Rings and Algebras
2010-07-29 v1 Commutative Algebra
Abstract
We introduce a dual Zariski topology on the spectrum of fully coprime -submodules of a given duo module over an associative (not necessarily commutative) ring . This topology is defined in a way dual to that of defining the Zariski topology on the prime spectrum of . We investigate this topology and clarify the interplay between the properties of this space and the algebraic properties of the module under consideration.
Cite
@article{arxiv.1007.4855,
title = {A Dual Zariski Topology for Modules},
author = {Jawad Y. Abuhlail},
journal= {arXiv preprint arXiv:1007.4855},
year = {2010}
}