An Auslander-Reiten principle in derived categories

作者:Ono Maiko*; Yoshino Yuji
来源:Journal of Pure and Applied Algebra, 2017, 221(6): 1268-1278.
DOI:10.1016/j.jpaa.2016.09.009

摘要

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.

  • 出版日期2017-6