On the general solution of the functional equation \(f(x+yf(x)) = f(x)f(y)\). (English) Zbl 0165.17102

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[1] Aczél, J. Lectures on Functional Equations and their Applications (Academic Press, 1966). · Zbl 0139.09301
[2] Cliford, A. H. andPreston, G. B. The Algebraic Theory of Semigroups, Vol. 1 (Amer. Math. Soc., 1961 [Mathematical Survey, 7]).
[3] Javor, P. Continuous Solutions of the Functional Equation f (x + y f (x)) = f (x) f (y). To appear. · Zbl 0203.46301
[4] Scott, W. R. Group Theory (Prentice-Hall, 1964).
[5] Wolodzko, S. Solution générale de l’équation fonctionnelle f (x + y f (x)) = f (x) f (y), Aequationes Math.2, 12–29 (1968–69). · Zbl 0162.20402
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