A note on relative tilting modules

被引：17

作者：

Wei, Jiaqun ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2010年 / 214卷 / 04期

基金：

中国国家自然科学基金;

关键词：

REPRESENTATION-THEORY; FINITE SUBCATEGORIES; HOMOLOGY;

D O I：

10.1016/j.jpaa.2009.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bazzoni had given a simple characterization of infinitely generated n-tilting modules. Though her method is even inapplicable to classical n-tilting modules over Artin algebras, we show in this note that a similar characterization does hold for (finitely generated) relative n-tilting modules introduced by Auslander and Solberg for Artin algebras, by using a different method. We also present some applications. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：493 / 500

页数：8

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