R. Ovlyaee-Sarmazdeh
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...
Co-Authors