UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS

Baziar, Mohammad; Jafari, Afroozeh; Yetkin Celikel, Ece Y

doi:10.22044/jas.2022.12319.1658

Document Type : Original Manuscript

Authors

¹ Department of Mathematics, Yasouj University, P.O. Box 75914, Yasouj, Iran.

² Department of Electrical Electronics Engineering, Faculty of Engineering, Hasan Kalyoncu University, Gaziantep, Turkey

https://doi.org/10.22044/jas.2022.12319.1658

Abstract

In this paper, we introduce the concept of uniformly $n$-ideal of
commutative rings which is a special type of $n$-ideal. We call a
proper ideal $I$ of $R$ a uniformly $n$-ideal if there exists a
positive integer $k$ for $a,b\in R$ whenever $ab\in I$ and
$a\notin I$ implies that $b^{k}=0.$ The basic properties of
uniformly $n$-ideals are investigated in detail. Moreover, some
characterizations of uniformly $n$-ideals are obtained for some
special rings.

Keywords

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