SOME PROPERTIES ON THE COMPLEMENT OF THE IDEAL-BASED ZERO DIVISOR GRAPH OF A NEAR-RING

摘要

In this paper, we study the concepts of a B-prime ideal and a maximal N-prime ideal of I for any completely reflexive ideal I of a near-ring N. We characterize the complement of the ideal- based zero-divisor graph of near-rings in terms of their connectedness and its diameter.