Quasi-homogeneous associative functions.
Factoring biquadratic maps on modules.
Fundamental equation of information revisited.
Fundamental equation of information revisited. (Summary).
Generalized characteristic equation of branching information measures.
On some functional equations of Jessen, Karpf, and Thorup.
Kurepa's functional equation on semigroups.
The functional equation to which the title refers is: F(x,y) + F(xy,z) = F(x,yz) + F(y,z), where x, y and z are in a commutative semigroup S and F: S x S --> X with (X,+) a divisible abelian group (Divisibility means that for any y belonging to X and natural number n there exists a (unique) solution x belonging to X to nx = y).
Measures of vector information with the branching property
A characterization of separable utility functions
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