Attached primes and Matlis duals of local cohomology modules

Michael Hellus

Attached primes and Matlis duals of local cohomology modules

Commutative Algebra 2007-05-23 v1

Authors: Michael Hellus

Abstract

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.

Keywords

attached primes matlis dual local cohomology modules noetherian local ring associated primes

Cite

@article{arxiv.math/0604032,
  title  = {Attached primes and Matlis duals of local cohomology modules},
  author = {Michael Hellus},
  journal= {arXiv preprint arXiv:math/0604032},
  year   = {2007}
}

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