Kurepa's functional equation on semigroups.
Ebanks, Bruce R.
Stochastica, Tome 6 (1982), p. 39-55 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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).

Publié le : 1982-01-01
DMLE-ID : 1642 
@article{urn:eudml:doc:38865,
     title = {Kurepa's functional equation on semigroups.},
     journal = {Stochastica},
     volume = {6},
     year = {1982},
     pages = {39-55},
     zbl = {0524.39010},
     mrnumber = {MR0694203},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38865}
}

Ebanks, Bruce R. Kurepa's functional equation on semigroups.. Stochastica, Tome 6 (1982) pp. 39-55. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38865/