@article {
author = {Akray, I.},
title = {I-prime ideals},
journal = {Journal of Algebra and Related Topics},
volume = {4},
number = {2},
pages = {41-47},
year = {2016},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {In 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.},
keywords = {prime ideal,weakly prime ideal,almost prime ideal,radical of the ideal},
url = {https://jart.guilan.ac.ir/article_1998.html},
eprint = {https://jart.guilan.ac.ir/article_1998_805b509c5392f49a246ca25b4fb110a2.pdf}
}