On the equivalence of pre-Schröder equations

• Autorzy: Kalinowski J.
• Języki publikacji: EN

Abstrakty

EN

In the paper the equivalence of the system of two pre-Schröder functional equations (equations (Sn), (Sm) for m > n ≥ 3, n, m ∈ N) and the whole system (S), is considered. The results solve the problem of Gy. Targonski [4] in a particular case.

Słowa kluczowe

EN

pre-Schroder equations; Targonski's problem; torsion free semigroups

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 2
• Strony: 253--257
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kalinowski J.

• Silesian University, Department of Mathematics, ul. Bankowa 14, 40-007 Katowice, Poland,

Bibliografia

• [1] J. Drewniak, J. Kalinowski, Les relations entre les equations pre-Schroder I, Ann. Polon. Math. 32 (1976), 5–11.
• [2] M. Kuczma, B. Choczewski, R. Ger, Iterative Functional Equations, Encyclopedia of Mathematics and its Applications, Vol. 32, Cambridge Univ. Press, Cambridge-New York-New Rochelle-Melburne-Sydney 1990.
• [3] Z. Moszner, P 63 S 1, P 63 S 2, Aequationes Math. 4 (1970), 395.
• [4] Gy. Targonski, Problem P 63, ibidem 4 (1970), 251.
• [5] Gy. Targonski, On pre-Schroder equations, ibidem 8 (1972), 157.