Homogeneous tri-additive forms and derivations

DOI10.1016/J.LAA.2011.04.040zbMath1230.39011OpenAlexW2020532958MaRDI QIDQ636235

Che Tat Ng, Bruce R. Ebanks

Publication date: 26 August 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.040

zbMATH Keywords

functional equationderivationssecond order derivationstri-additive forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Derivations and commutative rings (13N15) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (6)

Polynomially linked additive functions. II ⋮ Polynomially linked additive functions ⋮ When the image of a derivation on a uniformly complete \(f\)-algebra is contained in the radical ⋮ Functional equations characterizing derivations and homomorphisms on fields ⋮ Reduction formulas for higher order derivations and a hypergeometric identity ⋮ Characterizing ring derivations of all orders via functional equations: results and open problems

Cites Work

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• On the equation \(F(X)+M(X)G(X^{-1})=0\) on \(K^ n\)
• The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms
• The Definition of a Quadratic Form
• Some Functional Equations in Groups and Rings.

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