Some properties of graded generalized 2-absorbing submodules

Abstract

Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components. Special attention has been paid, when graded rings are graded gr-Noetherian, to find extra properties of these graded submodules.

Keywords

• graded generalized 2-absorbing submodule
• graded 2-absorbing submodule
• graded 2-absorbing primary submodule
• 13a02
• 16w50