Alienation of Cauchy's and the quadratic functional equations on semigroups

DOI10.1007/S00010-021-00799-6zbMath1470.39051OpenAlexW3137532161MaRDI QIDQ2029457

Brahim Fadli

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00010-021-00799-6

zbMATH Keywords

functional equationsemigroupadditive mapalienationquadratic

Mathematics Subject Classification ID

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

Related Items (2)

Computer assisted investigation of alienness of linear functional equations ⋮ Alienation of Drygas', Cauchy's, Jensen's and the quadratic equations on semigroups with an involutive automorphism

Cites Work

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• On the alienation of the exponential Cauchy equation and the Hosszú equation
• Alienation of the logarithmic and exponential functional equations
• Additivity and exponentiality are alien to each other
• Some generalization of Cauchy's and the quadratic functional equations
• A generalized ring homomorphisms equation
• Relations de dépendance entre les équations fonctionnelles de Cauchy. (Inter-relations between Cauchy functional equations)
• The cocycle equation on commutative semigroups
• Alienation of two general linear functional equations
• Alienation of the quadratic and additive functional equations
• Alienation of the Jensen, Cauchy and d'Alembert equations
• A variant of the quadratic functional equation on semigroups
• Alien Functional Equations: A Selective Survey of Results
• On the alienation of the Cauchy equation and the Lagrange equation
• A Short Proof of Alienation of Additivity from Quadraticity
• Functional Equations on Groups

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