The Auslander-Reiten conjecture for Gorenstein rings
Abstract
Description
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 $R$, then it holds for $R$.
*** 4 pages, minor changes, to appear in Proc. Amer. Math. Soc
*** 4 pages, minor changes, to appear in Proc. Amer. Math. Soc