2 papers
math.AC2021
On the finiteness of local homology modules
Ali Fathi, Alireza Hajikarimi
Let be a commutative Noetherian ring and be an ideal of . Suppose is a finitely generated -module and is an Artinian -module. We define the conc…
math.AC2008
Generalized local cohomology modules and homological Gorenstein dimensions
Kamran Divaani-Aazar, Alireza Hajikarimi
Let \fa be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-modules. Let \cd_{\fa}(M,N) denote the supremum of the i's such that H^i_{\fa}(M,N)\neq…