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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A finiteness result for associated primes of local cohomology modules
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by M. P. Brodmann and A. Lashgari Faghani
Proc. Amer. Math. Soc. 128 (2000), 2851-2853
DOI: https://doi.org/10.1090/S0002-9939-00-05328-4
Published electronically: April 28, 2000

Abstract:

We show that the first non-finitely generated local cohomology module $H^i_\mathfrak {a} (M)$ of a finitely generated module $M$ over a noetherian ring $R$ with respect to an ideal $\mathfrak {a}\subseteq R$ has only finitely many associated primes.
References
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Bibliographic Information
  • M. P. Brodmann
  • Affiliation: Mathematical Institute, University of Zurich, Zurich, Switzerland
  • MR Author ID: 41830
  • Email: brodmann@math.unizh.ch
  • A. Lashgari Faghani
  • Affiliation: Mathematical Institute, University of Zurich, Zurich, Switzerland
  • Email: lashagari@math.unizh.ch
  • Received by editor(s): September 8, 1998
  • Received by editor(s) in revised form: November 9, 1998
  • Published electronically: April 28, 2000
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2851-2853
  • MSC (2000): Primary 13D45; Secondary 13E99
  • DOI: https://doi.org/10.1090/S0002-9939-00-05328-4
  • MathSciNet review: 1664309