Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On graded classical prime and graded prime submodules217225598ENK.Al-ZoubiJordan University of Science and TechnologyM.JaradatJordan University of Science and Technology, P.O.Box 3030, Irbid, JordanR.Abu-DawwasYarmouk
University, Irbid , JordanJournal Article20130921Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded <br />commutative ring and $M$ a graded $R$-module. In this paper, we <br />introduce several results concerning graded classical prime <br />submodules. For example, we give a characterization of graded <br />classical prime submodules. Also, the relations between graded <br />classical prime and graded prime submodules of $M$ are studied.http://bims.iranjournals.ir/article_598_4dd3ba6468b930d4ee8608ff457e8457.pdf