N-ideals of commutative rings-Reference-Cited by-同舟云学术

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N-ideals of commutative rings

Published:2017 Issue:10 Volume:31 Page:2933-2941
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Tekir Unsal¹,Koc Suat¹,Oral Kursat²

Affiliation:

1. Marmara University, Department of Mathematics, Istanbul, Turkey

2. Yildiz Technical University, Department of Mathematics, Istanbul, Turkey

Abstract

In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 45 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. $\delta (0)$-Ideals of Commutative Rings;International Electronic Journal of Algebra;2024-07-12

2. On weakly $(2,J)$-ideals of commutative rings;Novi Sad Journal of Mathematics;2024-04-05

3. More on the strongly 1-absorbing primary ideals of commutative rings;Czechoslovak Mathematical Journal;2024-01-22

4. N-hyperideals and related extensions;FILOMAT;2024

5. Generalization of primary ideal associated with a special radical class;São Paulo Journal of Mathematical Sciences;2023-12-26

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