ABSTRACT
It is well known that the dimension of a vector space is defined as the number of elements in its basis. The basis of a vector space is a maximal set of linearly independent vectors or a minimal set of vectors that spans the space. The former, when generalized to modules over rings, becomes the concept of Goldie dimension. Goldie (1972) introduced the concept finite Goldie dimension (FGD) in modules over rings. A module is said to have FGD if it contains no infinite direct sum of nonzero submodules. The concept of FGD in N-groups was introduced by Reddy and Satyanarayana (1988). It was later studied by Satyanarayana and Prasad (1998, 2000, 2005b, 2005c); Satyanarayana, Prasad and Pradeep Kumar (2004).
