Polynomially linked additive functions. II

DOI10.1007/S00010-017-0537-0zbMath1394.39024OpenAlexW2563379188MaRDI QIDQ1647764

Bruce R. Ebanks

Publication date: 26 June 2018

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

Full work available at URL: https://doi.org/10.1007/s00010-017-0537-0

zbMATH Keywords

functional equationhomogeneityintegral domaincharacteristic zerohigher-order derivationring derivation

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, actions of Lie algebras (16W25) Systems of functional equations and inequalities (39B72)

Related Items (3)

Functional equations characterizing derivations: a synthesis ⋮ On functional equations characterizing derivations: methods and examples ⋮ Reduction formulas for higher order derivations and a hypergeometric identity

Cites Work

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• Polynomially linked additive functions
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• A conditional equation for additive functions
• Characterization of field homomorphisms and derivations by functional equations
• Linked pairs of additive functions
• An alternative equation for polynomial functions
• Characterizing ring derivations of all orders via functional equations: results and open problems
• Some unsolved problems in the theory of functional equations
• Some relations between additive functions. I
• Some relations between additive functions. II
• On Cauchy's Functional Equation
• On a system of functional equations

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