The Auslander-Reiten conjecture for Gorenstein rings
arXiv:0805.0210
Abstract
The Nakayama conjecture is one of the most important conjectures in ring theory. The Auslander-Reiten conjecture is closely related to it. The purpose of this note is to show that if the Auslander-Reiten conjecture holds in codimension one for a commutative Gorenstein ring , then it holds for .
*** 4 pages, minor changes, to appear in Proc. Amer. Math. Soc