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arXiv · 1511.00788

On Armendariz-like properties in Amalgamated algebras along ideals

N. Mahdou·A. Mimouni·M. elOuarrachi
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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 investigate the transfer of Armendariz-like properties to 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. Our aim is to provide necessary and sufficient conditions for $A\bowtie^fJ,$ to be an Armendariz ring, nil-Armendariz ring and weak Armendariz ring.

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N. Mahdou, A. Mimouni, M. elOuarrachi. 2015-11-03. On Armendariz-like properties in Amalgamated algebras along ideals. https://arxiv.org/abs/1511.00788

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