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A characterization of modules locally of finite injective dimension
Author(s):
Ryo
Takahashi
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3461-3464.
MSC (2000):
Primary 13D05, 13D07
Posted:
July 2, 2007
MathSciNet review:
2336558
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Abstract:
In this note, we characterize finite modules locally of finite injective dimension over commutative Noetherian rings in terms of vanishing of Ext modules.
References:
-
- 1.
- BRUNS, W.; HERZOG, J. Cohen-Macaulay rings, revised edition. Cambridge Studies in Advanced Mathematics, 39. Cambridge University Press, Cambridge, 1998. MR 1251956 (95h:13020)
- 2.
- GOTO, S. Vanishing of
 . J. Math. Kyoto Univ. 22 (1982/83), no. 3, 481-484. MR 674605 (84c:13019) - 3.
- MATSUMURA, H. Commutative ring theory. Translated from the Japanese by M. Reid. Cambridge Studies in Advanced Mathematics, 8. Cambridge University Press, Cambridge, 1986. MR 879273 (88h:13001)
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Additional Information:
Ryo
Takahashi
Affiliation:
Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki 214-8571, Japan
Email:
takahasi@math.meiji.ac.jp
DOI:
10.1090/S0002-9939-07-08909-5
PII:
S 0002-9939(07)08909-5
Keywords:
Injective dimension,
Cohen-Macaulay locus
Received by editor(s):
March 13, 2006
Received by editor(s) in revised form:
August 19, 2006
Posted:
July 2, 2007
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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