A Generalized Study of Zero Divisor Graphs of Boolean Rings ℤ 2n = ℤ2 × ℤ 2 × · · · × ℤ 2

Abstract

The Zero-divisor graph of a commutative ring R is defined as a graph in which the vertices represent the non-Zero Zero divisors of R, and two vertices x and y are connected if and only if x× y = 0. In this study, we focus on examining the Zero divisor graphs of Boolean rings and deriving insights from their graphical representations.