Article
On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions
Canadian Mathematical Bulletin
Document Type
Article
Publication Date
3-1-2015
DOI
10.4153/CMB-2014-052-9
Disciplines
- Education and
- Mathematics
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].
Citation Information
Saeed Nasseh. "On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions" Canadian Mathematical Bulletin Vol. 58 (2015) p. 134 - 143 Available at: http://works.bepress.com/saeed_nasseh/28/