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“School of Mathematics”

Paper IPM / M / 11326

School of Mathematics
Title:	On existence of embeddings into modules of finite homological dimensions
Author(s):	S. Yassemi (Joint with R. Takahashi and Y. Yoshino)
Status:	Published
Journal:	Proc. Amer. Math. Soc.
Vol.:	138
Year:	2010
Pages:	2265-2268
Supported by:	IPM

Abstract:

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 also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay.

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