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On 2-Absorbing Quasi-Primary Ideals in Commutative Rings

Research paper by Unsal Tekir, Suat Koç, Kursat Hakan Oral, Kar Ping Shum

Indexed on: 10 Mar '16Published on: 22 Dec '15Published in: Communications in Mathematics and Statistics



Abstract

Let R be a commutative ring with nonzero identity. In this article, we introduce the notion of 2-absorbing quasi-primary ideal which is a generalization of quasi-primary ideal. We define a proper ideal I of R to be 2-absorbing quasi primary if \(\sqrt{I}\) is a 2-absorbing ideal of R. A number of results concerning 2-absorbing quasi-primary ideals and examples of 2-absorbing quasi-primary ideals are given.