Geodesic
On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 134-143

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DOI

We show that under some conditions a Gorenstein ring $R$ satisfies the Generalized Auslander–Reiten conjecture if and only if $R\left[ x \right]$ does. When $R$ is a local ring we prove the same result for some localizations of $R\left[ x \right]$ .
DOI : 10.4153/CMB-2014-052-9
Mots-clés : 13D07, 16E30, 16E65, Auslander–Reiten conjecture, finitistic extension degree, Gorenstein rings 
Nasseh, Saeed. On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 134-143. doi: 10.4153/CMB-2014-052-9
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     title = {On the {Generalized} {Auslander{\textendash}Reiten} {Conjecture} under {Certain} {Ring} {Extensions}},
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     doi = {10.4153/CMB-2014-052-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-052-9/}
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