Derivations and local derivations on Freudenthal almost \(f\)-algebras
type: Item
instance of: scholarly article
title: Derivations and local derivations on Freudenthal almost \(f\)-algebras
zbMATH Open document ID: 1214.06005
published in: Expositiones Mathematicae
publication date: 2010-07-20T00:00:00Z
review text: The author proves a version of the Colville-Davis-Keimel theorem [\textit{P. Colville, G. Davis} and \textit{K. Keimel}, ``Positive derivations on \(f\)-rings'', J. Aust. Math. Soc., Ser. A 23, 371--375 (1977; Zbl 0376.06021)] (a positive linear map \(d\) on an Archimedean \(f\)-algebra is a derivation iff its range is nil and \(d(A\cdot A)=\{0\}\)) for arbitrary derivations on Freundenthal almost \(f\)-algebras.
reviewed by: Igor Klep
Mathematics Subject Classification ID: 06F25
zbMATH DE Number: 5757838
zbMATH Keywords: almost \(f\)-algebra
zbMATH Keywords: positive derivation
author: Mohamed Ali Toumi
MaRDI profile type: Publication
full work available at URL: j.exmath.2009.12.001
OpenAlex ID: W1994081899
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DOI: 10.1016/J.EXMATH.2009.12.001
description: scientific article; zbMATH DE number 5757838