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On 2-absorbing quasi-primary ideals in commutative rings. (English) Zbl 1338.13007

Summary: 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.

MSC:

13A15 Ideals and multiplicative ideal theory in commutative rings
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
13G05 Integral domains
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