ABSTRACT
The well-known concept of a “vector space over an arbitrary field” becomes a “module over a ring” when it is generalized. When we generalize further, this concept becomes a “module over a near ring.” Modules over near rings N are also known as N-groups. In this section, we present some fundamental results on N-groups, some of them drawn from Pilz (1983). Throughout this chapter, G denotes an N-group.
