On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions
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Published:2015-03-01
Issue:1
Volume:58
Page:134-143
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Abstract
AbstractWe show that under some conditions a Gorenstein ring R satisfies the Generalized Auslander–Reiten conjecture if and only if R[x] does. When R is a local ring we prove the same result for some localizations of R[x].
Publisher
Canadian Mathematical Society
Subject
General Mathematics