Quasi-cotilting modules and torsion-free classes

被引：4

作者：

Zhang, Peiyu ^{[1
]}

Wei, Jiaqun ^{[2
]}

机构：

[1] Anhui Polytech Univ, Sch Math & Phys, Wuhu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 11期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Quasi-cotilting module; torsion-free class; covering class; pure-injective module; cofinendo module; TILTING MODULES;

D O I：

10.1142/S0219498819502141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that all quasi-cotilting modules are pure-injective and cofinendo. It follows that the class CogenM is always a covering class whenever M is a quasi-cotilting module. Some characterizations of quasi-cotilting modules are given. As a main result, we prove that there is a bijective correspondence between the equivalent classes of quasi-cotilting modules and torsion-free covering classes.

引用

页数：14

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