@article{Moskaliuk_Moskaliuk_2012, title={Category of Vilenkin−Kuznetsov−Smorodinsky−Smirnov Trees}, volume={57}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021293}, DOI={10.15407/ujpe57.4.426}, abstractNote={<p>First, we briefly review the definitions and the basic properties of operads and trees. There are many useful types of operads, and each type is determined by the choice of two categories: basic symmetric monoidal category (<em>C</em>, □), which supports the classical linear operads, and a category of graphs Γ reflecting the combinatorics of operadic data and axioms. From this viewpoint, the specific operad is a functor Γ → <em>C</em>. Second, our aim is the construction of the category of Vilenkin–Kuznetsov–Smorodinsky–Smirnov (VKSS) trees, which contains VKSS-trees as objects and morphisms generated by a rotation of the <em>n</em>-dimensional space and transforming functions of VKSS-trees.</p>}, number={4}, journal={Ukrainian Journal of Physics}, author={Moskaliuk, S.S. and Moskaliuk, N.M.}, year={2012}, month={Apr.}, pages={426} }