Distributively generated gc near-rings

Abstract

Let N be a finite GC near-ring. Those near-rings N such that N is distributilvely generated and (N,+) is solvable are shown to be a direct sum of fields and d.g. ” basic near-rings of size 2“. These basic near-rings of size 2 are characterized. A method for constructing d.g. GC near-rings is presented. This work gives rise to a class of d.g. GC near-rings which are not centralizer near-rings.