When are n-syzygy modules n-torsionfree?
Commutative Algebra
2016-04-14 v1
Abstract
Let R be a commutative noetherian ring. We consider the question of when n-syzygy modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include Serre's condition and certain conditions on the local Gorenstein property of R. Our main result implies the converse of a celebrated theorem of Evans and Griffith.
Keywords
Cite
@article{arxiv.1604.03684,
title = {When are n-syzygy modules n-torsionfree?},
author = {Hiroki Matsui and Ryo Takahashi and Yoshinao Tsuchiya},
journal= {arXiv preprint arXiv:1604.03684},
year = {2016}
}