University of GuilanJournal of Algebra and Related Topics2345-39314220161201I-prime ideals41471998ENI.AkraySoran UniversityJournal Article20160511In this paper, we introduce a new generalization of weakly prime ideals called $I$-prime. Suppose $R$ is a commutative ring with identity and $I$ a fixed ideal of $R$. A proper ideal $P$ of $R$ is $I$-prime if for $a, b in R$ with $ab in P-IP$ implies either $a in P$ or $b in P$. We give some characterizations of $I$-prime ideals and study some of its properties. Moreover, we give conditions under which $I$-prime ideals becomes prime or weakly prime and we construct the view of $I$-prime ideal in decomposite rings.https://jart.guilan.ac.ir/article_1998_805b509c5392f49a246ca25b4fb110a2.pdf