Over the past four decades, interest has been arisen in the study of modern algebraic systems like: Nearrings, Modules over Nearrings. The concept "Dimension" of a vector space, when generalized to modules becomes the concept "Goldie Dimension," introduced by Goldie. In this Monograph this concept was extended to N-groups and studied fundamental results. The Monograph also covers a vital study of several important concepts like Matrix Nearrings, IFP Ideal, Spanning Dimension, Direct systems. The concept of directed hypercube introduced and studied "graph of complement ideals of N-groups with...