ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES

Document Type : Original Manuscript

Author

Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.

Abstract

Let R be a commutative Noetherian ring, fa an
ideal of R and mathcalD(R) denote the derived category of
R-modules. For any homologically bounded complex X, we conjecture that
supbfLLambdafa(X)leq magRX. We prove this
in several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes.

Keywords