# zbMATH — the first resource for mathematics

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
Full Text:
##### 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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.