On Graded $\varphi$-Prime Submodules

Azzh Saad Alshehry, Malik Bataineh, Rashid Abu-Dawwas

Let $R$ be a graded commutative ring with non-zero unity $1$ and $M$ be a graded unitary $R$-module. Let $GS(M)$ be the set of all graded $R$-submodules of $M$ and $ϕ: GS(M)\righta…