The Auslander-Reiten conjecture for Gorenstein rings

Details The Auslander-Reiten conjecture for Gorenstein rings The Auslander-Reiten conjecture for Gorenstein rings

2008-05-02

arxiv.org/abs/0805.0210v2

Mathematics

Commutative Algebra

*** 4 pages, minor changes, to appear in Proc. Amer. Math. Soc

Scientific paper

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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