Abstract
This article centers around artinianness of the local cohomology of ZD-modules. Let a he an ideal of a commutative Noetherian ring R. The notion of a-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 the a-relative Goldie dimension of any quotient of M is finite. It is shown that if dim R/a = 0, then the local cohomology modules Hi a(M) are artinian. Also, it is proved that if d = dim M is finite, then Hd a (M) is artinian, for any ideal a of R. These results extend the previously-known results concerning artinianness of local cohomology of finitely generated modules.
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