@article{oai:nagoya.repo.nii.ac.jp:00024543, author = {Matsui, Hiroki and Takahashi, Ryo and Tsuchiya, Yoshinao}, issue = {4}, journal = {Archiv der Mathematik}, month = {Apr}, note = {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 Serreā€™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.}, pages = {351--355}, title = {When are n-syzygy modules n-torsionfree?}, volume = {108}, year = {2017} }