The Auslander-Reiten conjecture for Gorenstein rings

Araya, Tokuji

doi:10.1090/S0002-9939-08-09757-8

The Auslander-Reiten conjecture for Gorenstein rings
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Proc. Amer. Math. Soc. 137 (2009), 1941-1944 Request permission

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 $R$.

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