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Cofiniteness of Local Cohomology Modules Over Regular Local Rings

Cofiniteness of Local Cohomology Modules Over Regular Local Rings It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R‐module, the local cohomology modules Hli(M) are not always finitely generated. On the other hand, if R is local and m is its maximal ideal, then Hmi(M) are Artinian modules, which is equivalent to the following two properties: http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Cofiniteness of Local Cohomology Modules Over Regular Local Rings

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References (13)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609399006499
Publisher site
See Article on Publisher Site

Abstract

It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R‐module, the local cohomology modules Hli(M) are not always finitely generated. On the other hand, if R is local and m is its maximal ideal, then Hmi(M) are Artinian modules, which is equivalent to the following two properties:

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jan 1, 2000

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