On Generalizations of Graded $r$-ideals

Rashid Abu-Dawwas, Malik Bataineh, Ghida'a Al-Qura'an

In this article, we introduce a generalization of the concept of graded $r$-ideals in graded commutative rings with nonzero unity. Let $G$ be a group, $R$ be a $G$-graded commutati…