Cofiniteness and coassociated primes of local cohomology modules

Details Cofiniteness and coassociated primes of local cohomology modules Cofiniteness and coassociated primes of local cohomology modules

2008-10-22

arxiv.org/abs/0810.3969v1

Mathematics

Commutative Algebra

10 pages, to appear in Mathematica Scandinavica

Scientific paper

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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