16 citations · 26 across the 10 of their papers we have counts for
9 papers · 1 filter
Cofiniteness and finiteness of associated prime ideals of generalized local cohomology modules
Alireza Vahidi, Ahmad Khaksari, Mohammad Shirazipour
Let be a non-negative integer, a commutative Noetherian ring, an ideal of , and two finitely generated -modules, and an arbitrary -modul…
Extension functors of generalized local cohomology modules
Alireza Vahidi, Faisal Hassani, Elham Hoseinzade
Let be a commutative Noetherian ring with non-zero identity, an ideal of , a finitely generated --module, and an arbitrary --module. In this pap…
Finiteness dimensions and cofiniteness of generalized local cohomology modules
Alireza Vahidi, Moharram Aghapournahr, Elahe Mahmoudi Renani
Let be a commutative Noetherian ring with non-zero identity, and ideal of , a finite --module, and a non-negative integer. In this paper, for an ar…
Lyubeznik numbers of monomial ideals
Josep Alvarez Montaner, Alireza Vahidi
We study Bass numbers of local cohomology modules supported on squarefree monomial ideals paying special attention to Lyubeznik numbers. We build a dictionary between local cohomol…
Some results on generalized local cohomology modules
Alireza Vahidi, Moharram Aghapournahr
Let be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of , a finite --module and an arbitrary --module. Here, we show that, in the Serre…
Torsion functors of local cohomology modules
Mohammad T. Dibaei, Alireza Vahidi
Through a study of torsion functors of local cohomology modules we improve some non-finiteness results on the top non-zero local cohomology modules with respect to an ideal.