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Let  R  be a ring with identity. The intersection graph of ideals of  R , written as, is a graph which has all non-trivial left ideals of  R  as its vertices and two distinct non-trivial left idealsof  R  are adjacent if and only if. Letbe a finite field with  q  elements,the ring of allmatrices over. In this article, all automorphisms ofare determined definitely.

Automorphism group of the intersection graph of ideals over a matrix ring