Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 457-467 |
| Number of pages | 11 |
| Journal | Topology and its Applications |
| Volume | 158 |
| Issue number | 3 |
| DOIs | |
| State | Published - 15 Feb 2011 |
Bibliographical note
Funding Information:1 The author would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. FT08009.
Keywords
- Comultiplication module
- Dual Zariski topology
- Duo module
- Fully coprime module
- Multiplication module
- Zariski topology
ASJC Scopus subject areas
- Geometry and Topology