A dual Zariski topology for modules

作者：Abuhlail Jawad^*

来源：Topology and Its Applications, 2011, 158(3): 457-467.

DOI：10.1016/j.topol.2010.11.021

• Duo module
• Multiplication module
• Comultiplication module
• Fully coprime module
• Zariski topology
• Dual Zariski topology

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.

• 出版日期2011-2-15
• 单位中国石油大学（北京）