@article { author = {Hatamkhani, M.}, title = {ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES}, journal = {Journal of Algebraic Systems}, volume = {3}, number = {2}, pages = {217-225}, year = {2015}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2015.620}, abstract = {Let $R$ be a commutative Noetherian ring, $fa$ anideal of $R$ and $mathcal{D}(R)$ denote the derived category of$R$-modules. For any homologically bounded complex $X$, we conjecture that$sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove thisin several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes.}, keywords = {Local cohomology modules,local homology modules,magnitude,Noetherian dimension}, url = {https://jas.shahroodut.ac.ir/article_620.html}, eprint = {https://jas.shahroodut.ac.ir/article_620_374b709d91ba6ee24f3f79fde8febcf8.pdf} }