Pairs of functional pre-Schröder equations (Sₙ) are considered. We show that under some assumptions the system of two equations (S₃), (Sₙ) for some n ≥ 4 is equivalent to the system of all equations (Sₙ) for n ≥ 2. The results answer a question of Gy. Targonski [5] in a particular case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-6,
author = {J\'ozef Kalinowski},
title = {Sur les paires d'\'equations pr\'e-Schr\"oder et leur \'equivalence},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {169-176},
zbl = {1100.39030},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-6}
}
Józef Kalinowski. Sur les paires d'équations pré-Schröder et leur équivalence. Annales Polonici Mathematici, Tome 83 (2004) pp. 169-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-6/