Cotorsion pairs associated with Auslander categories
Commutative Algebra
2007-05-23 v1
Abstract
We prove that the Auslander class determined by a semidualizing module is the left half of a perfect cotorsion pair. We also prove that the Bass class determined by a semidualizing module is preenveloping.
Cite
@article{arxiv.math/0609291,
title = {Cotorsion pairs associated with Auslander categories},
author = {Edgar E. Enochs and Henrik Holm},
journal= {arXiv preprint arXiv:math/0609291},
year = {2007}
}
Comments
15 pages