Polynomially linked additive functions

DOI10.1007/S00010-016-0449-4zbMath1373.39021OpenAlexW4238754566MaRDI QIDQ525084

Bruce R. Ebanks

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1007/s00010-016-0449-4

zbMATH Keywords

functional equationhomogeneityintegral domainfieldcharacteristic zerohigher-order derivationring derivation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items (8)

Polynomially linked additive functions. II ⋮ Polynomial equations for additive functions. I: The inner parameter case ⋮ Monomial functions, normal polynomials and polynomial equations ⋮ Certain functional identities on division rings ⋮ Conditional equations for quadratic functions ⋮ On derivations with respect to finite sets of smooth functions ⋮ Functional equations characterizing derivations: a synthesis ⋮ On functional equations characterizing derivations: methods and examples

Cites Work

• On the order of a derivation
• Homogeneous tri-additive forms and derivations
• A conditional equation for additive functions
• Characterization of field homomorphisms and derivations by functional equations
• 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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