@article{oai:nagoya.repo.nii.ac.jp:00022957,
 author = {Goto, Shiro and Takahashi, Ryo},
 issue = {3},
 journal = {Algebras and Representation Theory},
 month = {Jun},
 note = {We refine a well-known theorem of Auslander and Reiten about the extension closedness of nth syzygies over noether algebras. Applying it, we obtain the converse of a celebrated theorem of Evans and Griffith on Serre’s condition (Sn) and the local Gorensteiness of a commutative ring in height less than n. This especially extends a recent result of Araya and Iima concerning a Cohen–Macaulay local ring with canonical module to an arbitrary local ring.},
 pages = {511--521},
 title = {Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings},
 volume = {19},
 year = {2016}
}