Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco
Abstract
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.
Alaoui Ismaili, K., & Mahdou, N. (2015). Coherence in amalgamated algebra along an ideal. Bulletin of the Iranian Mathematical Society, 41(3), 625-632.
MLA
Alaoui Ismaili, K., & Mahdou, N. "Coherence in amalgamated algebra along an ideal", Bulletin of the Iranian Mathematical Society, 41, 3, 2015, 625-632.
HARVARD
Alaoui Ismaili K., Mahdou N. (2015). 'Coherence in amalgamated algebra along an ideal', Bulletin of the Iranian Mathematical Society, 41(3), pp. 625-632.
CHICAGO
K. Alaoui Ismaili & N. Mahdou, "Coherence in amalgamated algebra along an ideal," Bulletin of the Iranian Mathematical Society, 41 3 (2015): 625-632,
VANCOUVER
Alaoui Ismaili K., Mahdou N. Coherence in amalgamated algebra along an ideal. BIMS. 2015;41(3):625-632.
