Attached primes and Matlis duals of local cohomology modules

Details Attached primes and Matlis duals of local cohomology modules Attached primes and Matlis duals of local cohomology modules

2006-04-03

arxiv.org/abs/math/0604032v1

Mathematics

Commutative Algebra

Scientific paper

Let $J$ be an ideal of a noetherian local ring $R$. We show new results on the set of attached primes $\Att_R(\LCMo ^l_J(R))$ of a local cohomology module $\LCMo ^l_J(R)$. To prove our results we establish and use new relations between the set $\Att_R(\LCMo ^l_J(R))$ of attached primes of a local cohomology module and the set $\Ass_R(D(\LCMo ^l_J(R)))$ of associated primes of the Matlis dual of the same local cohomology module.

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