Coherence in amalgamated algebra along an ideal

Authors

K. Alaoui Ismaili Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco

N. Mahdou Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco

Abstract:

Let $f: Arightarrow B$ 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 $Abowtie^{f}J$. We provide necessary and sufficient conditions for $Abowtie^{f}J$ to be a coherent ring.

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Journal title

Bulletin of the Iranian Mathematical Society

volume 41 issue 3

pages 625- 632

publication date 2015-06-15

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Keywords

Amalgamated algebra coherent ring

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