The Auslander-Reiten conjecture for Gorenstein rings
classification
🧮 math.AC
math.RA
keywords
conjectureauslander-reitengorensteinholdsringcloselycodimensioncommutative
read the original 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 $R$, then it holds for $R$.
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