## 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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### References:

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