Coherence in amalgamated algebra along an ideal

Let $f:A\to B$ 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.