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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
Some bounds for vanishing of derived local homology modules
Type
Presentation
Keywords
Local cohomology modules; local homology modules; magnitude; Noetherian dimension
Year
2016
Researchers Marziyeh Hatamkhani ، Moharram Aghapournahr

Abstract

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $\mathcal{D}(R)$ denote the derived category of $R$-modules.We are going to find an upper bound for $\sup{\bf L}\Lambda^{\fa}(X)$ in this paper. For any homologically bounded complex $X$, we conjecture that $\sup {\bf L}\Lambda^{\fa}(X)\leq$ mag$_RX$. We prove this in several cases.