UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS

نویسندگان
Jafari, Afroozeh ID 1
Yetkin Celikel, Ece Y ID 2
Baziar, Mohammad ID 3

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

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

doi
10.22044/jas.2022.12319.1658
چکیده

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

کلیدواژه‌ها
Uniformly primary ideal, $n$-ideal, uniformly $n$-ideal