The Zero Divisor Graph of 2 × 2 Matrices Over a Field

چکیده مقاله

A zero divisor graph, Gamma(R), is formed from a ring R by having each element of Z(R) - {0} to be a vertex in the graph and having two vertices u and v adjacent if the corresponding elements from the ring are nonequal and have product equal to zero. In this paper, the structure of the zero-divisor graph of 2X2 matrices over a field, Gamma(M2(F)), are completely determined.