A Note on Minimal Prime Submodules

Abstract

AbstractIn this short note, we give a characterization of the modules with finitely many minimal prime submodules over an arbitrary submodule.MSC: 13C0513A15 AcknowledgmentI would like to thank the referees for their comments and suggestions that helped to improve the paper.Additional informationNotes on contributorsAli Reza NaghipourALI REZA NAGHIPOUR received the Ph.D. degree in Mathematics from Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran in 2004. He is an Associate Professor of Mathematics at Shahrekord University in Iran. His research interests are in the areas of ring theory and graphs associated to rings.