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Associated primes of formal local cohomology modules

Commutative Algebra 2021-04-06 v5

Abstract

Let a\mathfrak{a} be an ideal of a commutative Noetherian ring RR and MM a finitely generated RR-module. In this paper we proved that if SuppFai(M)\operatorname{Supp}\mathfrak{F}_\mathfrak{a}^i(M) is finite for all i<ti<t, then so is Ass(Fat(M))\operatorname{Ass}(\mathfrak{F}_{\mathfrak{a}}^t(M)).

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Cite

@article{arxiv.2011.02911,
  title  = {Associated primes of formal local cohomology modules},
  author = {Behruz Sadeqi},
  journal= {arXiv preprint arXiv:2011.02911},
  year   = {2021}
}

Comments

My article has many mistakes