Title of article
On two problems concerning the Zariski topology of modules
Author/Authors
Ansari-Toroghy ، H. - University of Guilan , Ovlyaee-Sarmazdeh ، R. - University of Guilan , Pourmortazavi ، Sajad - University of Guilan
Pages
8
From page
941
To page
948
Abstract
Let R be an associative ring and let M be a left R-module. Let SpecR(M) be the collection of all prime submodules of M (equipped with classical Zariski topology). It is conjectured that every irreducible closed subset of SpecR(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, then SpecR(M) is a spectral space.
Keywords
Prime spectrum , classical Zariski topology , spectral space
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456036
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