On weakly \(n\)-absorbing ideals of commutative rings

All rings are commutative with \(1\neq0\). The purpose of this paper is to investigate the concept of weakly \(n\)-absorbing ideals generalizing weakly 2-absorbing ideals. We prove that over a \(u\)-ring \(R\) the Anderson-Badawi's conjectures about \(n\)-absorbing ideals and the Badawi-Yousefi...

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Bibliographic Details
Published in:arXiv.org 2016-02
Main Authors: Mostafanasab, Hojjat, Soheilnia, Fatemeh, Darani, Ahmad Yousefian
Format: Article
Language:English
Subjects:
Rings (mathematics)
Online Access:Get full text
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Summary:All rings are commutative with \(1\neq0\). The purpose of this paper is to investigate the concept of weakly \(n\)-absorbing ideals generalizing weakly 2-absorbing ideals. We prove that over a \(u\)-ring \(R\) the Anderson-Badawi's conjectures about \(n\)-absorbing ideals and the Badawi-Yousefian's question about weakly 2-absorbing ideals hold.
ISSN:2331-8422