UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS

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

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∈R whenever ab∈I and
a∉I implies that bk=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

References

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Journal of Algebraic Systems
Volume 11, Issue 2
January 2024
Pages 125-136

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