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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:
Bulletin of the London Mathematical Society – Wiley
Published: Jan 1, 2000
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