Chromatic number of zerodivisor graphs on real valued measurable functions

Chromatic number of zerodivisor graphs on real valued measurable functions

Zero divisor graph of a ring R, G, is a graph with non-zero zero divisor elements of the ring R and vertices x and y are adjacent iff x:y = 0. In this talk we consider the zero divisor graph of the ring of all real valued measurable functions of a measure space ( Ω;M; μ ) and find the chromatic number as well as clique number of it under some special condition on the measure space.