Journal of the
Korean Mathematical Society JKMS

Let $G$ be an abelian monoid with identity $e$. Let $R$ be a $G$-graded commutative ring, and $M$ a graded $R$-module. In this paper we first introduce the concept of graded primal submodules of $M$ and give some basic results concerning this class of submodules. Then we characterize the graded primal ideals of the idealization $R(+)M$.

Keywords: graded primary submodule, graded prime submodule, graded primal submodule

MSC numbers: 13A02, 16W50