Graded modules with Noetherian graded second spectrum

Saif Salam, Khaldoun Al-Zoubi

Let $R$ be a $G$ graded commutative ring and $M$ be a $G$-graded $R$-module. The set of all graded second submodules of $M$ is denoted by $Spe{c}_G^s(M)$ and it is called the graded…