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N. Nobusawa [6] introduced the notion of a Γ-ring, more general than a ring. WE Barnes [1] weakened slightly the conditions in the definition of Γ-ring in the sense of Nobusawa. WE Barnes [1], J. Luh [3] and S. Kyuno [2] studied the structure of Γ-rings and obtained various generalizations analogous to corresponding parts in ring theory. In this paper, we define and study the extended centroid of a prime Γ-ring.