On the vanishing of local homology modules

Marziyeh Hatamkhani; Kamran Divaani-Aazar

On the vanishing of local homology modules

Commutative Algebra 2012-09-18 v1

Authors: Marziyeh Hatamkhani , Kamran Divaani-Aazar

Abstract

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $M$ an $R$ -module. We intend to establish the dual of Grothendieck's Vanishing Theorem for local homology modules. We conjecture that $H^{\fa}_i(M)=0$ for all $i>\Mag_RM$ . We prove this in several cases.

Keywords

local homology modules commutative Noetherian ring Grothendieck's Vanishing Theorem ideal module vanishing theorem

Cite

@article{arxiv.1209.3417,
  title  = {On the vanishing of local homology modules},
  author = {Marziyeh Hatamkhani and Kamran Divaani-Aazar},
  journal= {arXiv preprint arXiv:1209.3417},
  year   = {2012}
}

Comments

to appear in Glasgow Mathematical Journal

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