Additivity and exponentiality are alien to each other

DOI10.1007/S00010-010-0012-7zbMath1211.39013OpenAlexW1976849837WikidataQ114960969 ScholiaQ114960969MaRDI QIDQ623400

Roman Ger

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0012-7

zbMATH Keywords

functional equationadditivityintegral domainalienationexponentialityAbelian monoidquadratical equivalence

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Integral domains (13G05) Systems of functional equations and inequalities (39B72)

Related Items (14)

On the alienation of the exponential Cauchy equation and the Hosszú equation ⋮ Alienation of the logarithmic and exponential functional equations ⋮ Alienation of the Jensen, Cauchy and d'Alembert equations ⋮ On the alienation of the logarithmic and exponential Cauchy equations ⋮ Alienation and the stability problem ⋮ Computer assisted investigation of alienness of linear functional equations ⋮ Alien Functional Equations: A Selective Survey of Results ⋮ Alienation of Drygas', Cauchy's, Jensen's and the quadratic equations on semigroups with an involutive automorphism ⋮ A note on alienation for functional inequalities ⋮ A characterization of quadratic-multiplicative mappings ⋮ Alienation of Drygas' and Cauchy's functional equations ⋮ Alienation of Cauchy's and the quadratic functional equations on semigroups ⋮ Alienation of two general linear functional equations ⋮ Characterizations of derivations

Cites Work

• A generalized ring homomorphisms equation
• Relations de dépendance entre les équations fonctionnelles de Cauchy. (Inter-relations between Cauchy functional equations)
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