ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES

Abstract

Let $R$ be a commutative Noetherian ring, $fa$ an<br />ideal of $R$ and $mathcal{D}(R)$ denote the derived category of<br />$R$-modules. For any homologically bounded complex $X$, we conjecture that<br />$sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove this<br />in several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes.