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

Year 2019, Volume: 7 Issue: 2, 195 - 203, 23.08.2019

Barış Albayrak , Didem Yeşil

https://doi.org/10.20290/estubtdb.531860

Cited By: 1

Abstract

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

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

Abstract

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.

Keywords

Semi-prime ring, Lie ideal

References

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