Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A characterization of modules locally of finite injective dimension


Author: Ryo Takahashi
Journal: Proc. Amer. Math. Soc. 135 (2007), 3461-3464
MSC (2000): Primary 13D05, 13D07
Published electronically: July 2, 2007
MathSciNet review: 2336558
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13D05, 13D07

Retrieve articles in all journals with MSC (2000): 13D05, 13D07


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: http://dx.doi.org/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
Published electronically: July 2, 2007
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.