zero-divisor graph of the rings of real measurable functions with the measures

Let m(x,a,μ) be the ring of real-valued measurable functions on a measurable space (x,a) with measure μ.in this paper, we study the zero-divisor graph of m(x,a,μ),denoted by γ(m(x,a,μ)).we give the elationships among graph properties of γ(m(x,a,μ)), ring properties of m(x,a,μ) and measure properties of (x,a,μ).finally, we investigate the continuity properties of γ(m(x,a,μ))