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A characterization result of cofinite local cohomology modules
Moharram Aghapournahr, Leif Melkersson
Let be a commutative Noetherian ring, $\fa$ an ideal of , an arbitrary -module and a finite -module. We prove that \cite[Theorem 2.1]{Mel} and \cite[Propositio…
On the vanishing, artinianness and finiteness of local cohomology modules
Moharram Aghapournahr, Leif Melkersson
Let be a noetherian ring, $\fa$ an ideal of , and an --module. We prove that for a finite module , if $\LC^{i}_{\fa}(M)$ is minimax for all , then $…
Cofiniteness and coassociated primes of local cohomology modules
Moharram Aghapournahr, Leif Melkersson
Let be a noetherian ring, $\fa$ an ideal of such that $\dim R/\fa=1$ and a finite --module. We will study cofiniteness and some other properties of the local cohomol…
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…
Local cohomology: Associated primes, artinianness and asymptotic behaviour
Moharram Aghapournahr, Leif Melkersson
Let be a noetherian ring, $\fa$ an ideal of , an --module and a non-negative integer. In this paper we first will study the finiteness properties of the kernel an…