The existence of finitely generated modules of finite Gorenstein injective dimension
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Abstract:
In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.References
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Additional Information
- Ryo Takahashi
- Affiliation: Department of Mathematics, Faculty of Science, Okayama University, 1-1, Naka 3-chome, Tsushima, Okayama 700-8530, Japan
- Address at time of publication: Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki 214-8571, Japan
- MR Author ID: 674867
- Email: takahasi@math.okayama-u.ac.jp, takahasi@math.meiji.ac.jp
- Received by editor(s): August 12, 2004
- Received by editor(s) in revised form: October 1, 2004, January 31, 2005, and May 31, 2005
- Published electronically: May 12, 2006
- Communicated by: Bernd Ulrich
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 3115-3121
- MSC (2000): Primary 13D05; Secondary 13H10
- DOI: https://doi.org/10.1090/S0002-9939-06-08428-0
- MathSciNet review: 2231892