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arXiv · 0810.3969

Cofiniteness and coassociated primes of local cohomology modules

Moharram Aghapournahr·Leif Melkersson
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Abstract

Let $R$ be a noetherian ring, $\fa$ an ideal of $R$ such that $\dim R/\fa=1$ and $M$ a finite $R$--module. We will study cofiniteness and some other properties of the local cohomology modules $\lc^{i}_{\fa}(M)$. For an arbitrary ideal $\fa$ and an $R$--module $M$ (not necessarily finite), we will characterize $\fa$--cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.

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Moharram Aghapournahr, Leif Melkersson. 2008-10-22. Cofiniteness and coassociated primes of local cohomology modules. https://arxiv.org/abs/0810.3969

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