Abstract
Given a duo module M over an associative (not necessarily commutative) ring R, a Zariski topology is defined on the spectrum Spec fp(M) of fully prime R-submodules of M. We investigate, in particular, the interplay between the properties of this space and the algebraic properties of the module under consideration.
| Original language | English |
|---|---|
| Pages (from-to) | 4163-4182 |
| Number of pages | 20 |
| Journal | Communications in Algebra |
| Volume | 39 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2011 |
Bibliographical note
Funding Information: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
- Duo module
- Fully prime module
- Multiplication module
- Zariski topology
ASJC Scopus subject areas
- Algebra and Number Theory
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