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arXiv · 1602.07134

On weakly $n$-absorbing ideals of commutative rings

Hojjat Mostafanasab·Fatemeh Soheilnia·Ahmad Yousefian Darani
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Abstract

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.

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Hojjat Mostafanasab, Fatemeh Soheilnia, Ahmad Yousefian Darani. 2016-02-23. On weakly $n$-absorbing ideals of commutative rings. https://arxiv.org/abs/1602.07134

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