K. Al-Zoubi
Jordan University of Science and Technology
[ 1 ] - On graded classical prime and graded prime submodules
Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of $M$ are studied.
[ 2 ] - On the Graded Primal Avoidance Theorem
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we generalize the graded primary avoidance theorem for modules to the graded primal avoidance theorem for modules. we also introduce the concept of graded $P_{L}$-compactly packed modules and give a number of its properties.
Co-Authors