TY - JOUR ID - 637 TI - Coherence in amalgamated algebra along an ideal JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Alaoui Ismaili, K. AU - Mahdou, N. AD - Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco Y1 - 2015 PY - 2015 VL - 41 IS - 3 SP - 625 EP - 632 KW - Amalgamated algebra KW - coherent ring DO - N2 - Let $f: A\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfer 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. UR - http://bims.iranjournals.ir/article_637.html L1 - http://bims.iranjournals.ir/article_637_ee6424db1fd55f61b941f1ae5f86a13b.pdf ER -