Affiliation:
1. Laboratoire d’Ingénierie Mathématique , Ecole Polytechnique de Tunisie ; and Département de Mathématiques, Faculté des Sciences de Bizerte, Université de Carthage, 7021 Zarzouna , Bizerte , Tunisia
Abstract
Abstract
In 1977, Colville, Davis, and Keimel [Positive derivations on f-rings, J. Aust. Math. Soc. Ser. A 23 1977, 3, 371–375] proved that a positive derivation on an Archimedean f-algebra A has its range in the set of nilpotent elements of A.
The main objective of this paper is to obtain a generalization of the above Colville, Davis and Keimel result to general derivations.
Moreover, we give a new version of the Singer–Wermer conjecture for the class of second-order derivations acting on uniformly complete almost f-algebras.
Subject
Applied Mathematics,General Mathematics
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