Seyed Sajad Pourmortazavi

Department of pure Mathematics‎, ‎Faculty of mathematical Sciences‎, ‎University of Guilan‎, ‎P‎. ‎O‎. ‎Box 41335-19141 Rasht‎, ‎Iran.

[ 1 ] - On two problems concerning the Zariski topology of modules

Let $R$ be an associative ring and let $M$ be a left $R$-module.Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, t...

[ 2 ] - Strongly cotop modules

In this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.