On the laskerian properties of extension functors of local cohomology modules

Document Type : Research Paper

Authors

Department of Basic Sciences, Arak University of Technology, Arak, Iran.

Abstract

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 \ExtR1(R/\fa,HRt(M))) and \ExtR2(R/\fa,H\fat(M)) where t is a non-negative integer.

Keywords


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