Derivations on Lie ideals in semiprime rings
type: Item
instance of: scholarly article
title: Derivations on Lie ideals in semiprime rings
zbMATH Open document ID: 0567.16024
DOI: 10.1007/BF02844890
author: Luisa Carini
publication date: 1985-01-01T00:00:00Z
review text: The purpose of this note is to prove that if \(R\) is a 2-torsion free semiprime ring with a derivation \(D\) and Lie ideal \(U\) satisfying \(D^ 2(U)=0\), then \(D(U)\) is in the center of \(R\).
reviewed by: Charles Lanski
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16U70
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 3904793
zbMATH Keywords: semi-prime ring
zbMATH Keywords: derivation
zbMATH Keywords: Lie ideal
zbMATH Keywords: center
MaRDI profile type: Publication
cites work: Lie ideals and derivations of prime rings
cites work: On the Lie structure of an associative ring
cites work: Q4112071
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published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3904793