On Graded Jgr-Prime Submodules

Abstract

In this paper, we obtain several results concerning graded J_gr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded J_gr-prime submodules and results related to residual of graded J_gr-prime submodules. Also, the relations between graded J_gr-prime submodules and graded prime submodules of D are studied. In addition, we present the necessary and sufficient condition for graded submodules to be graded J_gr-prime submodules.