Abstract:
Let R be a commutative finite ring with unity and let Z(R) be its
set of zero divisors. The study of R in which the subset of zero divi sors forms a unique maximal ideal has been extensively done yielding
interesting and useful results. For different classes of R, the invert ible element have been characterized by use of fundamental theorem of
finitely generated abelian groups while Z(R) has been characterized via
the zero divisor graphs. Scanty in the literature are the maps that pre serve the structures of R and its subsets. In this paper we discover and
characterize the automorphisms of zero divisor graphs of Galois rings
