# Coherence in amalgamated algebra along an ideal

Document Type: Research Paper

Authors

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.

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### History

• Receive Date: 30 September 2013
• Revise Date: 08 March 2014
• Accept Date: 06 April 2014