TY - JOUR
T1 - An Auslander–Reiten principle in derived categories
AU - Ono, Maiko
AU - Yoshino, Yuji
N1 - Funding Information:
The authors are very grateful to the anonymous referee for his valuable comments on the first draft. The second author was supported by JSPS Grant-in-Aid for Scientific Research 26287008 .
Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - 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.
AB - 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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U2 - 10.1016/j.jpaa.2016.09.009
DO - 10.1016/j.jpaa.2016.09.009
M3 - Article
AN - SCOPUS:84992066475
SN - 0022-4049
VL - 221
SP - 1268
EP - 1278
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 6
ER -