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research
Coherence in amalgamated algebra along an ideal
Authors
Communicated Rahim Zaare-nah
Ismaili
+4 more
K. Alaoui
K. Alaoui Ismaili
N. Mahdou
N. Mahdou
Publication date
12 January 2013
Publisher
View
on
arXiv
Abstract
Let
f
:
A
→
B
f: A\rightarrow B
f
:
A
→
B
be a ring homomorphism and let
J
J
J
be an ideal of
B
B
B
. In this paper, we investigate the transfert of the property of coherence to the amalgamation
A
⋈
f
J
A\bowtie^{f}J
A
⋈
f
J
. We provide necessary and sufficient conditions for
A
⋈
f
J
A\bowtie^{f}J
A
⋈
f
J
to be a coherent ring
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