Hosszu's functional equation over rings generated by their units

DOI10.1007/BF02189347zbMath0479.39003OpenAlexW2089347432MaRDI QIDQ1161673

Lothar Redlin, Thomas M. K. Davison

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/182423

zbMATH Keywords

commutative ringsHosszu's functional equationrings of integers in cyclotomic fields

Mathematics Subject Classification ID

Equations in general fields (12E12) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (2)

Characterizations of derivations ⋮ Special cases of the generalized Hosszú equation on interval

Cites Work

• Unnamed Item
• On the functional equation f(m+n-mn)+f(mn)=f(m)+f(n)
• The complete solution of Hosszu's functional equation over a field
• On the general solution of a functional equation in the domain of distributions
• The functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)
• A proof of the equivalence of the equation \(f(x+y-xy)+f(xy)=f(x)+f(y)\) and Jensen's functional equation
• On the general solution of the functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)

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