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Paper
IPM / M / 11326 |
School of Mathematics
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Title: |
On existence of embeddings into modules of finite homological dimensions
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Author(s): |
S. Yassemi (Joint with R. Takahashi and Y. Yoshino)
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Status: |
Published
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Journal: |
Proc. Amer. Math. Soc.
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Vol.: |
138
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Year: |
2010
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Pages: |
2265-2268
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Supported by: |
IPM
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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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