Let $G$ be a group with identity $e$ and $R$ be a commutative
$G$-graded ring with nonzero unity $1$. In this article, we introduce the concept
of graded $r$-ideals. A proper graded ideal $P$ of a graded ring $R$ is said to be
graded $r$-ideal if whenever $a, bin h(R)$ such that $abin P$ and $Ann(a)={0}$,
then $bin P$. We study and investigate the behavior of graded $r$-ideals to introduce
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