The cocycle equation on periodic semigroups
The main result offered by the authors is that all solutions, mapping the Cartesian square of an abelian periodic semigroup (one in which every element is of finite order) into a uniquely divisible abelian group, of the functional equation \(F(x,y)+F(xy,z)=F(xy,z)+F(y,z)\) are of the form \(F(x,y)=f(x)+f(y)-f(xy).\)
scientific article; zbMATH DE number 1295518