On the equation \(F(X)+M(X)G(X^{-1})=0\) on \(K^ n\)

DOI10.1016/0024-3795(89)90030-XzbMath0694.39006MaRDI QIDQ909150

Bruce R. Ebanks

Publication date: 1989

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

zbMATH Keywords

quadratic formsderivationsfield extensionsfundamental equation of information measureshomogeneous biadditive forms

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Measures of information, entropy (94A17)

Related Items (4)

Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ Homogeneous tri-additive forms and derivations ⋮ A result concerning additive maps on the set of quaternions and an application ⋮ Characterizing ring derivations of all orders via functional equations: results and open problems

Cites Work

• Generalized fundamental equation of information of multiplicative type
• The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms
• Jordan derivations and quasi-bilinear forms
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• Unnamed Item

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