فهرست نشریات علمی دسترسی آزاد ایران

Let N be a right near-ring. Let Z(N) be the set of right zero-divisors of N.We dene total near-ring graph of N as a graph whose vertex set is the set of allelements of the near-ring N and any two distinct vertices n1; n2 2 N are adjacentif and only if n1 + n2 or n2 + n1 2 Z(N). We denote total near-ring graph of Nby TN. In this paper we try to give an overview of the structure of TN dependingupon whether the set of right zero-divisors Z(N) is an ideal of N or not. We alsond the girth and diameter of TN and its two subgraphs TZ(N) and TReg(N) for thecase when Z(N) is an ideal and not an ideal of the near-ring N.