In this paper, considering the difference between the finiteness dimension and cohomological dimension for a finitely generated module, we investigate the asymptotic behavior of grades of components of graded local cohomology modules with respect to irrelevant ideal; as long as we study some artinian and tameness property of such modules.

We consider Lie powers of group-modules over fields of prime characteristic and generalise some recent results for finite-dimensional modules to modules of arbitrary dimension. MSC 2000: 17B01, 20C07

Warehouse Database is a multidimensional model generally implemented in relational databases that contains a data repository. This data repository integrates valuable information from multiple data sources. This paper presents a procedure to generate the Dimension, Variable, and Relative dimension (DVR) of multidimensional cubes used in the Multidimensional On-Line Analytical Processing (MOLAP)...