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1. The Auslander-Reiten conjecture for Gorenstein rings.

Subjects
*GORENSTEIN rings, *COMMUTATIVE rings, *LOGICAL prediction, *ALGEBRAIC fields, *MATHEMATICS
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 paper is to show that if the Auslander-Reiten conjecture holds in codimension one for a commutative Gorenstein ring $R$, then it holds for $R$. [ABSTRACT FROM AUTHOR]

Published
2008
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