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arxiv: 0809.3814 · v1 · submitted 2008-09-22 · 🧮 math.AC · math.AG

Artinianness of local cohomology modules

classification 🧮 math.AC math.AG
keywords artiniannesscohomologylocalmodulessomecasecertaingeneral
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Let $A$ be a noetherian ring, $\fa$ an ideal of $A$, and $M$ an $A$--module. Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.

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