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IPM
30
YEARS OLD

“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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