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.
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.
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88 citations in Scopus®
134 citations in Microsoft Academic
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| 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: | 29 Jul 2020 19:45 |
| 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 |
Brodmann, M