Mathematical Sciences: Faculty Publications
On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions
Document Type
Article
Publication Date
3-2015
Publication Title
Canadian Mathematical Bulletin
DOI
10.4153/CMB-2014-052-9
Abstract
We show under some conditions that a Gorenstein ring R satisfies the Generalized Auslander-Reiten Conjecture if and only if so does R[x]. When R is a local ring we prove the same result for some localizations of R[x].
Recommended Citation
Nasseh, Saeed.
2015.
"On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions."
Canadian Mathematical Bulletin, 58: 134-143.
doi: 10.4153/CMB-2014-052-9
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/289
Copyright
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