Lie ideals and Jordan generalized \((\theta,\varphi)\)-derivations of prime rings.
type: Item
instance of: scholarly article
title: Lie ideals and Jordan generalized \((\theta,\varphi)\)-derivations of prime rings.
zbMATH Open document ID: 1116.16034
published in: Southeast Asian Bulletin of Mathematics
publication date: 2007-04-13T00:00:00Z
review text: Let \(R\) be a prime ring with \(\text{char\,}R\neq 2\), and let \(U\) be a Lie ideal of \(R\) so that \(u^2\in U\) for all \(u\in U\). The main result proves that if \(F\colon R\to R\) is additive and acts on \(U\) like a Jordan generalized \((\theta,\varphi)\)-derivation, for \(\theta\) and \(\varphi\) automorphisms of \(R\), then \(F\) acts on \(U\) like a generalized \((\theta,\varphi)\)-derivation.
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16W10
zbMATH DE Number: 5142495
zbMATH Keywords: Jordan derivations
zbMATH Keywords: generalized derivations
zbMATH Keywords: prime rings
zbMATH Keywords: Lie ideals
zbMATH Keywords: automorphisms
zbMATH Keywords: additive maps
author: Nadeem-ur-Rehman
reviewed by: Charles Lanski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5142495