The Auslander-Reiten conjecture for Gorenstein rings
Commutative Algebra
2008-09-01 v2 Rings and Algebras
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 .
Keywords
Cite
@article{arxiv.0805.0210,
title = {The Auslander-Reiten conjecture for Gorenstein rings},
author = {Tokuji Araya},
journal= {arXiv preprint arXiv:0805.0210},
year = {2008}
}
Comments
*** 4 pages, minor changes, to appear in Proc. Amer. Math. Soc