Geodesic
n-coherence property in amalgamated algebra along an ideal
Najib Mahdou1 ; Karima Alaoui Ismaili2 ; Najib Mahdou ; Karima Alaoui Ismaili
1Department of Mathematics, Faculty of Science and Technology of Fez
2Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez,
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 59-72 
Najib Mahdou; Karima Alaoui Ismaili; Najib Mahdou; Karima Alaoui Ismaili. n-coherence property in amalgamated algebra along an ideal. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 59-72. http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a4/
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     title = { n-coherence property in amalgamated algebra along an ideal},
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     pages = {59--72},
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Voir la notice de l'article provenant de la source Comenius University

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 $(n\geq 2)$ from a ring $A$ to his amalgamated algebra $A\bowtie^{f} J$. Our results generate examples which enrich the current literature with new and original families of $n$-coherent rings that are not $(n-1)$-coherent rings.