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The existence of finitely generated modules of finite Gorenstein injective dimension
Author:
Ryo Takahashi
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3115-3121
MSC (2000):
Primary 13D05; Secondary 13H10
Posted:
May 12, 2006
MathSciNet review:
2231892
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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
Email:
takahasi@math.okayama-u.ac.jp, takahasi@math.meiji.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08428-0
PII:
S 0002-9939(06)08428-0
Keywords:
G-injective dimension (Gorenstein injective dimension),
G-dimension (Gorenstein dimension).
Received by editor(s):
August 12, 2004
Received by editor(s) in revised form:
October 1, 2004, January 31, 2005, and May 31, 2005
Posted:
May 12, 2006
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2006 American Mathematical Society
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