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arXiv · 1404.3790

n-Coherence and (n, d)- properties in amalgamated algebra

Karima Alaoui Ismaili·Najib Mahdou
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Abstract

Let $f: A\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. The purpose of this article is to examine the transfer of the properties of $n$-coherence and strong $n$-coherence from a ring $A$ to his amalgamated algebra $A\bowtie^{f} J$. Also, we investigate the $(n,d)$-property of the amalgamated algebra $A \bowtie^{f}J$, to resolve Costa's first conjecture.

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Karima Alaoui Ismaili, Najib Mahdou. 2014-04-15. n-Coherence and (n, d)- properties in amalgamated algebra. https://arxiv.org/abs/1404.3790

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