A characterization of modules locally of finite injective dimension
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- by Ryo Takahashi PDF
- Proc. Amer. Math. Soc. 135 (2007), 3461-3464 Request permission
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
- Winfried Bruns and Jürgen Herzog, Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics, vol. 39, Cambridge University Press, Cambridge, 1993. MR 1251956
- Shiro Goto, Vanishing of $\textrm {Ext}^{i}_{A}(M,\,A)$, J. Math. Kyoto Univ. 22 (1982/83), no. 3, 481–484. MR 674605, DOI 10.1215/kjm/1250521731
- Hideyuki Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986. Translated from the Japanese by M. Reid. MR 879273
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
- MR Author ID: 674867
- Email: takahasi@math.meiji.ac.jp
- Received by editor(s): March 13, 2006
- Received by editor(s) in revised form: August 19, 2006
- Published electronically: July 2, 2007
- Communicated by: Bernd Ulrich
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3461-3464
- MSC (2000): Primary 13D05, 13D07
- DOI: https://doi.org/10.1090/S0002-9939-07-08909-5
- MathSciNet review: 2336558