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Marziyeh Hatamkhani

Marziyeh Hatamkhani

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0003-1021-2827
Education: PhD.
ScopusId: 55647016200
Faculty: Science
Address: Arak University
Phone:

Research

Title
ON THE VANISHING OF LOCAL HOMOLOGY MODULES
Type
JournalPaper
Keywords
{Local cohomology modules; Local homology modules; magnitude; Noetherian dimension.
Year
2013
Journal Glasgow Mathematical Journal
DOI
Researchers 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.