en تخصصي Special پژوهشي Research paper <p>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<br> 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&nbsp; several results. We introduced several characterizations for graded $r$-ideals;&nbsp; we proved that $P$ is a graded $r$-ideal of $R$ if and only if $aP=aRbigcap P$<br> &nbsp;for all $ain h(R)$ with $Ann(a)={0}$. Also, $P$ is a graded $r$-ideal of $R$&nbsp; if and only if $P=(P:a)$ for all $ain h(R)$ with $Ann(a)={0}$. Moreover,<br> &nbsp;$P$ is a graded $r$-ideal of $R$ if and only if whenever $A, B$ are graded ideals of &nbsp; $R$ such that $ABsubseteq P$ and $Abigcap r(h(R))neqphi$, then $Bsubseteq P$. In this article, we introduce the concept of $huz$-rings. A graded ring $R$ is said to be $huz$-ring if every homogeneous element of $R$ is either a zero&nbsp;divisor or a unit. In fact, we proved that $R$ is a $huz$-ring if and only if every graded ideal of $R$ is a graded $r$-ideal. Moreover, assuming that $R$ is a graded domain, we proved that ${0}$ is the only graded $r$-ideal of $R$.</p> Graded prime ideals, Graded r-ideals. 1 8 http://ijmsi.ir/browse.php?a_code=A-10-2277-1&slc_lang=en&sid=1 R. Abu-dawwas rrashid@yu.edu.jo 10031947532846007789 10031947532846007789 No Department of Mathematics, Yarmouk University, Jordan. M. Bataineh msbataineh@just.edu.jo 10031947532846007790 10031947532846007790 Yes Department of Mathematics and Statistics, Jordan University of Science and Technology, Jordan.