MATRIX DG NEAR-RINGS

Matrix near-rings had been defined by Meldrum and Van der Walt in 1986 and although a fair amount of results on the structure of these near- rings have been obtained since then, a satisfactory structure theory h as yet to be developed for matrix d.g. near-rings. In this paper we gi ve an alternate definition (in fact the dual definition) for matrix d. g. near-rings and develop a satisfactory structure theory for such d.g . near-rings.