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

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.

Anahtar Kelimeler:

Semi-prime ring, Lie ideal

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

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

Keywords:

Semi-prime ring, Lie ideal,

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