Derivations and local derivations on Freudenthal almost f-algebras
Copyright policy )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.
d-algebra, almost \(f\)-algebra, Ordered rings, algebras, modules, Mathematics(all), positive derivation, Dedekind σ- complete vector lattice, Derivation, Almost f-algebra
d-algebra, almost \(f\)-algebra, Ordered rings, algebras, modules, Mathematics(all), positive derivation, Dedekind σ- complete vector lattice, Derivation, Almost f-algebra
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!