GORENSTEIN COTILTING AND TILTING MODULES

被引：12

作者：

Yan, Liang ^{[1
]}

Li, Weiqing ^{[1
]}

Ouyang, Baiyu ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha, Hunan, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 02期

关键词：

m-Gorenstein; cotilting; modules; REPRESENTATION-THEORY; RELATIVE HOMOLOGY;

D O I：

10.1080/00927872.2014.981752

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Auslander and Solberg introduced the concepts of finitely generated cotilting and tilting modules in relative homological algebra considering subfunctors of the Ext-functor. In this article we generalize Auslander-Solberg relative notions by giving the definitions of infinitely generated Gorenstein cotilting and tilting modules by means of Gorenstein exact sequences. Using the theory developed by Enochs on the existence of Gorenstein preenvelopes and precovers, we prove a characterization of relative Gorenstein cotilting and tilting modules, which is a generalization of the beautiful characterization of relative cotilting and tilting modules given by Bazzoni.

引用

页码：591 / 603

页数：13

共 11 条

[1]

Angeleri Hugel LA, 2001, FORUM MATH, V13, P239

[2] RELATIVE HOMOLOGY AND REPRESENTATION-THEORY .1. RELATIVE HOMOLOGY AND HOMOLOGICALLY FINITE SUBCATEGORIES [J].