  Let $R$ be a $G$-graded ring and M be a $G$-graded $R$-module. We define the
graded primary spectrum of $M$, denoted by $\mathcal{PS}_G(M)$, to be the set
of all graded primary submodules $Q$ of M such that $(Gr_M(Q):_R M)=Gr((Q:_R
M))$. In this paper, we define a topology on $\mathcal{PS}_G(M)$ having the
Zariski topology on the graded prime spectrum $Spec_G(M)$ as a subspace
topology, and investigate several topological properties of this topological
space.

Commutative Algebra