An Auslander-Reiten principle in derived categories

Maiko Ono; Yuji Yoshino

An Auslander-Reiten principle in derived categories

Maiko Ono, Yuji Yoshino

研究成果 › 査読

9 ダウンロード数 (Pure)

抄録

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.

本文言語	Undefined/Unknown
ジャーナル	Journal of Pure and Applied Algebra
出版ステータス	Published - 5月 15 2018

文献へのアクセス

1805.05676v1

引用スタイル

@article{e57e28517ff1406d9e84272b9c83ad92,

title = "An Auslander-Reiten principle in derived categories",

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. ",

keywords = "math.AC, 13D09, 13C14, 16G50",

author = "Maiko Ono and Yuji Yoshino",

note = "This is the pre-peer reviewed version of the published article; 11 pages",

year = "2018",

month = may,

day = "15",

language = "Undefined/Unknown",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

}

TY - JOUR

T1 - An Auslander-Reiten principle in derived categories

AU - Ono, Maiko

AU - Yoshino, Yuji

N1 - This is the pre-peer reviewed version of the published article; 11 pages

PY - 2018/5/15

Y1 - 2018/5/15

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.

KW - math.AC

KW - 13D09, 13C14, 16G50

M3 - Article

SN - 0022-4049

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

ER -