On the laskerian properties of extension functors of local cohomology modules

Let R be a commutative Noetherian ring with identity and M be an R-module. In this paper, we are going to generalize some results on finiteness of extension functors of local cohomology modules to the category of generalized Laskerian modules. In particular,  we study the Laskerianness of \Ext^۱_R(R/\fa, H^t_R(M))) and \Ext^۲_R(R/\fa, H^t_\fa(M)) where t is a non-negative integer.

Keywords:

Local cohomology modules , Extension functors , Generalized Laskerian module