Title

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].

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