Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories

被引：217

作者：

Iyama, Osamu ^{[1
]}

机构：

[1] Univ Hyogo, Dept Math, Himeji, Hyogo 6712201, Japan

来源：

ADVANCES IN MATHEMATICS | 2007年 / 210卷 / 01期

关键词：

Auslander-Reiten theory; Maximal (n-1)-orthogonal subcategory; n-Auslander-Reiten translation/duality; n-almost split sequence; n-fundamental sequence;

D O I：

10.1016/j.aim.2006.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the concept of maximal (n - 1)-orthogonal subcategories over Artin algebras and orders, and develop (n + 1)-dimensional Auslander-Reiten theory on them. We give the n-Auslander-Reiten translation and the n-Auslander-Reiten duality, then show the existence of n-almost split sequences and n-fundamental sequences. We give some examples. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：22 / 50

页数：29

共 44 条

[1] REFLEXIVE MODULES OVER RATIONAL DOUBLE POINTS [J].