On a certain identity satisfied by a derivation and an arbitrary additive mapping
type: Item
instance of: scholarly article
title: On a certain identity satisfied by a derivation and an arbitrary additive mapping
zbMATH Open document ID: 0810.16035
DOI: 10.1007/BF01855880
published in: Aequationes Mathematicae
publication date: 1995-04-19T00:00:00Z
full work available at URL: https://eudml.org/doc/137523
review text: The authors prove that if \(R\) is a prime ring with nonzero derivation \(D\) and additive mapping \(f\) so that \(D(x)f(x) = 0\) for all \(x \in R\), then there is a nonzero left ideal \(L\) of \(R\) and a nonzero right ideal \(T\) of \(R\) with \(f(L) = f(T) = 0\).
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 202384
zbMATH Keywords: annihilators
zbMATH Keywords: prime ring
zbMATH Keywords: derivation
zbMATH Keywords: additive mapping
zbMATH Keywords: left ideal
zbMATH Keywords: right ideal
author: Matej Brešar
author: Jure Škarabot
author: Joso Vukman
reviewed by: Charles Lanski
MaRDI profile type: Publication
cites work: Q3360345
cites work: Centralizing Mappings on von Neumann Algebras
cites work: Centralizing mappings and derivations in prime rings
cites work: Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
cites work: On a Generalization of the Notion of Centralizing Mappings
cites work: Q5639810
cites work: Q4112071
cites work: A Note on Derivations
cites work: Prime rings satisfying a generalized polynomial identity
cites work: Derivations in Prime Rings
OpenAlex ID: W4246744765
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description: scientific article; zbMATH DE number 202384