An Auslander-Reiten principle in derived categories

Maiko Ono, Yuji Yoshino

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Abstract

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.
Original languageUndefined/Unknown
JournalJournal of Pure and Applied Algebra
Publication statusPublished - May 15 2018

Keywords

  • math.AC
  • 13D09, 13C14, 16G50

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