@article{oai:soar-ir.repo.nii.ac.jp:00011873,
author = {Takahashi, Ryo and Yassemi, Siamak and Yoshino, Yuji},
issue = {7},
journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
month = {Jul},
note = {Let R be a commutative Noetherian local ring. We show that R is Gorenstein if and only if every finitely generated R-module can be embedded in a finitely generated R-module of finite projective dimension. This extends a result of Auslander and Bridger to rings of higher Krull dimension, and it also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay., Let R be a commutative Noetherian local ring. We show that R is Gorenstein if and only if every finitely generated R-module can be embedded in a finitely generated R-module of finite projective dimension. This extends a result of Auslander and Bridger to rings of higher Krull dimension, and it also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay., Article, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 138(7):2265-2268 (2010)},
pages = {2265--2268},
title = {ON THE EXISTENCE OF EMBEDDINGS INTO MODULES OF FINITE HOMOLOGICAL DIMENSIONS},
volume = {138},
year = {2010}
}