On 2-Absorbing Quasi-Primary Ideals in Commutative Rings

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.

Keywords

Prime ideal / 2-Absorbing ideal / 2-Absorbing quasi-primary ideal

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