Quasi-cotilting modules and torsion-free classes
Rings and Algebras
2016-01-08 v1 K-Theory and Homology
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1601.01387,
title = {Quasi-cotilting modules and torsion-free classes},
author = {Peiyu Zhang and Jiaqun Wei},
journal= {arXiv preprint arXiv:1601.01387},
year = {2016}
}
Comments
11 pages