@article{Zelent_2022, title={On Traczyk’s BCK-sequences}, volume={21}, url={https://studmath.up.krakow.pl/article/view/9499}, abstractNote={<p>BCK-sequences and n-commutative BCK-algebras were introduced by T. Traczyk, together with two related problems. The first one, whether BCK-sequences are always prolongable. The second one, if the class of all n-commutative BCK-algebras is characterised by one identity. W. A. Dudek proved that the answer to the former question is positive in some special cases, e.g. when BCK-algebra is linearly ordered. T. Traczyk showed that the answer to the latter is affirmative for n = 1, 2. Nonetheless, by providing counterexamples, we proved that the answers to both those open problems are negative.</p>}, journal={Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica}, author={Zelent, Denis}, year={2022}, month={Sep.}, pages={43–49} }