  This paper centers around Artinianness of the local cohomology of
$ZD$-modules. Let $\fa$ be an ideal of a commutative Noetherian ring $R$. The
notion of $\fa$-relative Goldie dimension of an $R$-module $M$, as a
generalization of that of Goldie dimension is presented. Let $M$ be a
$ZD$-module such that $\fa$-relative Goldie dimension of any quotient of $M$ is
finite. It is shown that if $\dim R/\fa=0$, then the local cohomology modules
$H^i_{\fa}(M)$ are Artinian. Also, it is proved that if $d=\dim M$ is finite,
then $H^d_{\fa}(M)$ is Artinian, for any ideal $\fa$ of $R$ . These results
extend the previously known results concerning Artinianness of local cohomology
of finitely generated modules.
