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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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
  • 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