108 citations
- Institute for Research in Fundamental SciencesIR80 papers
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6 papers · 1 filter
Upper bounds for finiteness of generalized local cohomology modules
Moharram Aghapournahr
Let be a commutative Noetherian ring with non-zero identity and $\fa$ an ideal of . Let be a finite --module of of finite projective dimension and an arbitrary fi…
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…
On the vanishing and finiteness properties of generalized local cohomology modules
Moharram Aghapournahr
Let be a commutative noetherian ring, $\fa$ an ideal of and finite --modules. We prove that the following statements are equivalent. \begin{enumerate} \item[(i)] $…
Artinianness of local cohomology modules
Moharram Aghapournahr, Leif Melkersson
Let be a noetherian ring, $\fa$ an ideal of , and an --module. Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general s…
Some results on local cohomology modules
Amir Mafi
Let be a commutative Noetherian ring, $\fa$ an ideal of , and let be a finitely generated -module. For a non-negative integer , we prove that $H_{\fa}^t(M)$ is $\f…
On the associated primes of generalized local cohomology modules
Amir Mafi
Let $\fa$ be an ideal of a commutative Noetherian ring with identity and let and be two finitely generated -modules. Let be a positive integer. It is shown that…