On the Noetherian Dimension of Artinian Modules Nguyen Tu Cuong and Le Thanh Nhan Abstract      Some new results of Noetherian dimension of Artinian modules are given and several properties of Noetherian dimension of local cohomology modules of finitely generated modules are shown. After giving an example of an Artinian module $A$ which has Krull dimension stricly larger than its Noetherian dimension, we present some sufficient donditions on Artinian modules $A$ such that the both notions of dimension of $A$ are the same.