ON THE NOETHERIAN DIMENSION OF ARTINIAN GENERALIZED LOCAL COHOMOLOGY MODULES

In this note, we first prove some bounds for Noetherian dimension of  Artinian generalized local cohomology modules H I j ( M, N ) in the cases of  small levels. Secondly, in the cases of top generalized local cohomology  modules, some bounds of Noetherian dimension for such modules are  given.