Shahrood University of TechnologyJournal of Algebraic Systems2345-512811220240101UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS125136273510.22044/jas.2022.12319.1658ENMohammad BaziarDepartment of Mathematics, Yasouj University, P.O. Box 75914, Yasouj, Iran.Afroozeh JafariDepartment of Mathematics, Yasouj University, P.O. Box 75914, Yasouj, Iran.Ece YYetkin CelikelDepartment of Electrical Electronics Engineering, Faculty of Engineering,
Hasan Kalyoncu University, Gaziantep, TurkeyJournal Article20221004In this paper, we introduce the concept of uniformly $n$-ideal of<br />commutative rings which is a special type of $n$-ideal. We call a<br />proper ideal $I$ of $R$ a uniformly $n$-ideal if there exists a<br />positive integer $k$ for $a,b\in R$ whenever $ab\in I$ and<br />$a\notin I$ implies that $b^{k}=0.$ The basic properties of<br />uniformly $n$-ideals are investigated in detail. Moreover, some<br />characterizations of uniformly $n$-ideals are obtained for some<br />special rings.https://jas.shahroodut.ac.ir/article_2735_07b171e74ee0c25f5d9a0f0e3b03fa6e.pdf