On the vanishing, artinianness and finiteness of local cohomology modules

Moharram Aghapournahr, Leif Melkersson

Let $R$ be a noetherian ring, $\fa$ an ideal of $R$, and $M$ an $R$--module. We prove that for a finite module $M$, if $\LC^{i}_{\fa}(M)$ is minimax for all $i\ge r\ge 1$, then $…