The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms

DOI10.1016/S0024-3795(87)90329-6zbMath0622.39006MaRDI QIDQ1090873

B. George

Publication date: 1987

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

zbMATH Keywords

commutative fieldhomogeneous biadditive formsfield morphismHalperin problemphi-derivation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (8)

On quadratic forms ⋮ Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ Recursive inset entropies of multiplicative type on open domains ⋮ Certain functional identities on division rings ⋮ Homogeneous tri-additive forms and derivations ⋮ On the equation \(F(X)+M(X)G(X^{-1})=0\) on \(K^ n\) ⋮ 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

• A family of symmetric biadditive nonbilinear functions
• Jordan derivations and quasi-bilinear forms
• On a Generalized Fundamental Equation of Information
• The Definition of a Quadratic Form
• Automorphisms of the Field of Complex Numbers
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