Journal of Advances in Mathematics and Computer Science

Generalized (α,β )-higher Derivations on Lie Ideals of Rings with Involution

Abdul Nadim Khan *

Department of Mathematics, Faculty of Science and Arts-Rabigh, King Abdulaziz University, Saudi Arabia.

*Author to whom correspondence should be addressed.

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Abstract

In this manuscript, we investigate the behaviour of additive mappings which satisfy a functional identity associated with generalized (α, β)-higher derivations on Lie ideals of a prime ring with involution. As the consequences of our main theorem, many well known results can be deduced.

Keywords: Involution, ∗-closed Lie ideal, (α, β)-higher derivation, generalized (α, β)-higher derivation.

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