Two generalizations of Auslander-Reiten duality and applications
Commutative Algebra
2019-11-13 v1
Abstract
This paper extends Auslander-Reiten duality in two directions. As an application, we obtain various criteria for freeness of modules over local rings in terms of vanishing of Ext modules, which recover a lot of known results on the Auslander-Reiten conjecture.
Keywords
Cite
@article{arxiv.1807.00380,
title = {Two generalizations of Auslander-Reiten duality and applications},
author = {Arash Sadeghi and Ryo Takahashi},
journal= {arXiv preprint arXiv:1807.00380},
year = {2019}
}