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In this study, we examine some properties of $r$-hyperideals in thecommutative Krasner hyperrings. Some properties of $pr$-hyperideals are alsostudied. The relation between prime hyperideals and $r$-hyperideals isinvestigated. We show that the image and the inverse image of an $r$-hyperidealis also an $r$-hyperideal. We also introduce a generalization of r-hyperidealsand we prove some properties of them.

$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings