Prûfer property in amalgamated algebras along an ideal

Najib Mahdou; Moutu Abdou Salam Moutui

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arXiv · 1404.3793

Prûfer property in amalgamated algebras along an ideal

Najib Mahdou·Moutu Abdou Salam Moutui

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Abstract

Let $f : A \rightarrow B$ be a ring homomorphism and $J$ be an ideal of $B$. In this paper, we give a characterization of zero divisors of the amalgamation which is a generalization of Maimani's and Yassemi's work (see \cite{y}). Also, we investigate the transfer of Prüfer domain concept to commutative rings with zero divisors in the amalgamation of $A$ with $B$ along $J$ with respect to $f$ (denoted by $A\bowtie^fJ),$ introduced and studied by D'Anna, Finocchiaro and Fontana in 2009 (see \cite{AFF1} and \cite{AFF2}). Our aim is to provide new classes of commutative rings satisfying this property.

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Najib Mahdou, Moutu Abdou Salam Moutui. 2014-04-15. Prûfer property in amalgamated algebras along an ideal. https://arxiv.org/abs/1404.3793

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