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A finiteness result for associated primes of local cohomology modules


Brodmann, M; Faghani, A (2000). A finiteness result for associated primes of local cohomology modules. Proceedings of the American Mathematical Society, 128(10):2851-2853.

Abstract

We show that the first non-finitely generated local cohomology
module Hi a (M ) of a finitely generated module M over a noetherian ring R with respect to an ideal a ⊆ R has only finitely many associated primes.

Abstract

We show that the first non-finitely generated local cohomology
module Hi a (M ) of a finitely generated module M over a noetherian ring R with respect to an ideal a ⊆ R has only finitely many associated primes.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Local cohomology, associated primes
Language:English
Date:2000
Deposited On:27 May 2010 16:32
Last Modified:23 Jan 2022 14:40
Publisher:American Mathematical Society
ISSN:0002-9939
Additional Information:First published in [Proc. Amer. Math. Soc. 128 (2000)], published by the American Mathematical Society
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1090/S0002-9939-00-05328-4
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1664309
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0955.13007