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Title of Journal: Bull Malays Math Sci Soc

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Abbravation: Bulletin of the Malaysian Mathematical Sciences Society

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Springer Singapore

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10.1007/bf02628329

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2180-4206

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On Lie Ideals with Generalized Derivations and Non

Authors: Nadeem Ur Rehman Mohd Arif Raza
Publish Date: 2017/01/12
Volume: 40, Issue: 2, Pages: 747-764
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Abstract

Let R be a prime ring of characteristic different from 2 L be a noncentral Lie ideal of R and m n be the fixed positive integers If R admits a generalized derivation F associated with a deviation d such that Fu2m du2nin ZR for all u in L then R satisfies s 4 the standard identity in four variables Moreover we also examine the case when R is semiprime ring Finally as an application we obtain some range inclusion results of continuous or spectrally bounded generalized derivations on Banach algebras


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