Commuting maps: a survey.
type: Item
instance of: scholarly article
title: Commuting maps: a survey.
zbMATH Open document ID: 1078.16032
author: Matej Brešar
published in: Taiwanese Journal of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: Let \(R\) be a ring and \(S\) a nonempty subset of \(R\). A map \(f\colon S\to R\) is called commuting on \(S\) if \(f(x)x=xf(x)\) for all \(x\in S\). This paper is a wide-ranging and accessible survey dealing with commuting maps and related maps on various classes of rings, including prime and semiprime rings, Banach algebras, and \(C^*\)-algebras. The major section headings are: Commuting derivations, Commuting additive maps, Commuting traces of multiadditive maps, and Applications. A huge but incomplete bibliography indicates that the area under discussion has been and continues to be a lively area of research.
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16R50
Mathematics Subject Classification ID: 46H40
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47B49
zbMATH DE Number: 2148903
zbMATH Keywords: commuting maps
zbMATH Keywords: commuting derivations
zbMATH Keywords: commuting additive maps
zbMATH Keywords: prime rings
zbMATH Keywords: semiprime rings
zbMATH Keywords: Banach algebras
zbMATH Keywords: \(C^*\)-algebras
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500407660
OpenAlex ID: W1588499536
DOI: 10.11650/TWJM/1500407660
description: scientific article; zbMATH DE number 2148903