@Article{Kalinowski2007, author = "Kalinowski, Józef", title = "On the equivalence of pre-Schröder equations", journal = "Opuscula Math.", year = "2007", volume = "27", number = "2", pages = "253--257", doi = "http://dx.doi.org/10.7494/OpMath.2007.27.2.253", url = "http://dx.doi.org/10.7494/OpMath.2007.27.2.253", abstract = "In the paper the equivalence of the system of two pre-Schröder functional equations (equations \((S_n)\), \((S_m)\) for \(m \gt n \geq 3\), \(n, m \in \mathbb{N}\)) and the whole system \((S)\), is considered. The results solve the problem of Gy. Targonski [Gy. Targonski, Problem P 63, Aequationes Math. 4 (1970), 251] in a particular case.", keywords = "pre-Schröder equations, Targonski's problem, torsion free semigroups", issn = "1232-9274" }