arXiv subjects

Karima Alaoui Ismaili

Publications and source records attributed to Karima Alaoui Ismaili.

2 recordsLinked to original sources

arXiv2014

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

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.

math.AC↗

arXiv2013

Coherence in amalgamated algebra along an ideal

Let $f: A\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfert of the property of coherence to the amalgamation $A\bowtie^{f}J$. We provide necessary and sufficient conditions for $A\bowtie^{f}J$ to be a coherent ring.

math.AC↗