TY  - JOUR
ID  - Kalinowski2007
LB  - Kalinowski2007
AU  - Kalinowski, Józef
TI  - On the equivalence of pre-Schröder equations
ST  - On the equivalence of pre-Schröder equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2007
VL  - 27
IS  - 2
SP  - 253
EP  - 257
DO  - http://dx.doi.org/10.7494/OpMath.2007.27.2.253
UR  - http://dx.doi.org/10.7494/OpMath.2007.27.2.253
AB  - 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.
KW  - pre-Schröder equations
KW  - Targonski's problem
KW  - torsion free semigroups
SN  - 1232-9274
ER  -