An Auslander-Reiten principle in derived categories
classification
🧮 math.AC
keywords
auslander-reitenprinciplecategoriesderiveddimensionringapplybehind
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We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show the validity of the Auslander-Reiten conjecture over a Gorenstein ring in the case where the ring has dimension larger than two and the singular locus has at most one dimension.
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