On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions

Authors

Saeed Nasseh, Georgia Southern UniversityFollow

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