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On 2-absorbing ideals in commutative rings with unity - MaRDI portal

On 2-absorbing ideals in commutative rings with unity (Q1646276)

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scientific article; zbMATH DE number 6893810
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On 2-absorbing ideals in commutative rings with unity
scientific article; zbMATH DE number 6893810

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    On 2-absorbing ideals in commutative rings with unity (English)
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    25 June 2018
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    Let \(R\) be a commutative ring with non-zero identity. In the paper under review, the authors introduce the concept of \(n\)-weakly prime ideal which is a generalization of prime ideals. A proper ideal \(I\) of \(R\) is an \(n\)-weakly prime if for \(a, b, c \in R\), \(abc \in I\) implies that \(ab\in I\) or \(bc\in I\) or \(ac\in I\). The authors prove number of results concerning to \(n\)-weakly prime ideals.
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    commutative ring
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    2-absorbing ideal
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    irreducible ideal
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    regular ring
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