Artinianness and Attached Primes of Formal Local Cohomology Modules.

Let a be an ideal of a local ring (R, m) and M a finitely generated R-inodnle. In this paper we study the Artinianness properties of formal local cohomology modules and we obtain the lower and upper bounds for Artinianness of formal local cohomology modules. Additionally, we determine the set AttRℑdim Ma (M) and we show that the set of all non-isomorphic formal local cohomology modules ℑdim Ma (M) is finite. [ABSTRACT FROM AUTHOR]