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On the functional equation f(m+n-mn)+f(mn)=f(m)+f(n). (English) Zbl 0286.39011

MSC:
39B05 General theory of functional equations and inequalities
39B52 Functional equations for functions with more general domains and/or ranges
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References:
[1] Birkhoff, G.,Lattice Theory (Amer. Math. Soc., Providence, Rhode Island 1948). · Zbl 0033.10103
[2] Blanuša, D.,The Functional Equation f (x + y xy) + f (xy) =f (x) + f (y), Aequationes Math.5, 63–67 (1970). · Zbl 0203.46202
[3] Daroczy, Z.,On the General Solution of the Functional Equation f (x + y xy) + f (xy) = =f (x) + f (y), Aequationes Math.6, 130–132 (1971). · Zbl 0222.39003
[4] Geissinger, L.,Valuations on Distributive Lattices, Proceedings of a Conference on Mobius Algebras at Waterloo, 59–63 (1971). · Zbl 0356.06019
[5] Kurosh, A. G.,Lectures on General Algebra (Chelsea, New York 1963). · Zbl 0121.25901
[6] Swiatak, H.,A Proof of the Equivalence of the Equation f (x + y xy) + f (xy) = f (x) + f (y) and Jensen’s Functional Equation, Aequationes Math.6, 24–29 (1971). · Zbl 0214.39102
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