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In this paper, we study square closed Lie ideals of semi-prime rings with generalized (α,α)- derivations and investigate commutative properties of square closed Lie ideals under different conditions. Also, we take generalized (α,α)- derivation H with determined (α,α)- derivation h on prime ring and prove that h is α- commuting on Lie ideal. Finally, we reach the corollaries about commutative of prime rings by using the theorems we prove.

A GENERALIZED STUDY ON CLOSED LIE IDEALS WITH (α,α)-DERIVATIONS