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
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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