UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 2، فروردین 2024، صفحه 125-136 اصل مقاله (152.89 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.12319.1658 | ||
| نویسندگان | ||
| Mohammad Baziar* 1؛ Afroozeh Jafari1؛ Ece Y Yetkin Celikel2 | ||
| 1Department of Mathematics, Yasouj University, P.O. Box 75914, Yasouj, Iran. | ||
| 2Department of Electrical Electronics Engineering, Faculty of Engineering, Hasan Kalyoncu University, Gaziantep, Turkey | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Uniformly primary ideal؛ $n$-ideal؛ uniformly $n$-ideal | ||
| مراجع | ||
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