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On generalized derivations in semiprime rings involving anticommutator
Journal article   Peer reviewed

On generalized derivations in semiprime rings involving anticommutator

Mohammad Ashraf, Sajad Ahmad Pary and Mohd Arif Raza
Beiträge zur Algebra und Geometrie, Vol.60(3), pp.587-598
01/09/2019
DOI: https://doi.org/10.1007/s13366-019-00435-0

Abstract

Mathematics Physical Sciences Science & Technology
Let R be a prime ring with characteristic different from 2 and m,n,k be fixed positive integers. In this paper we study the case when R admits a generalized derivation F with associated derivation D such that (i)<m=(F(x degrees y))n, for all x,y is an element of I, where I is a non-zero ideal of R. Moreover, we also examine the case when R is a semiprime ring.

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