Derivations and local derivations on Freudenthal almost \(f\)-algebras
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.
scientific article; zbMATH DE number 5757838
scientific article