| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772895 | Journal of Pure and Applied Algebra | 2017 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maiko Ono, Yuji Yoshino,