[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2017.57.2.193

2-Absorbing δ-primary Ideals in Commutative Rings

Fahid, Brahim (Department of Mathematics, Faculty of Sciences, B.P. 1014, Mohammed V University)
Dongsheng, Zhao (Academic Group of Mathematics and Mathematical Education, National Institute of Education, Nanyang Technological University)

Publication Information

Kyungpook Mathematical Journal / v.57, no.2, 2017 , pp. 193-198 More about this Journal

Abstract

In this paper we investigate 2-absorbing ${\delta}$ -primary ideals which unify 2-absorbing ideals and 2-absorbing primary ideals. A number of results about 2-absorbing ideals and 2-absorbing primary ideals are extended into this general framework.

Keywords

2-absorbing ideal; 2-absorbing primary ideal; ${\delta}$ -primary ideal; 2-absorbing ${\delta}$ -primary ideal;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	D. D. Anderson and M. Bataineh, Generalizations of prime ideals, Comm. Algebra, 36(2008), 686-696. DOI
2	A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc., 75(2007), 417-429. DOI
3	A. Badawi, U. Tekir and E. Yetkin, On 2-absorbing primary ideals in commutative rings, Bull. Korean Math. Soc., 51(2014), 1163-1173. DOI
4	A. Y. Darani, Generalizations of primary ideals in commutative rings, Novi Sad J. Math., 42(2012), 27-35.
5	S. Payrovi and S. Babaei, On the 2-absorbing ideals, Int. Math. Forum, 7(2012), 265-271.
6	D. Zhao, $\delta$ -primary ideals of commutative rings, Kyungpook Math. J., 41(2001), 17-22.
7	D. F. Anderson and A.Badawi, On n-absorbing ideals of commutative rings, Comm. Algebra, 39(2011), 1646-1672. DOI