@article{Kochubinska_Oliynyk_2024, title={Monogenic free inverse semigroups and partial automorphisms of regular rooted trees}, volume={61}, url={http://www.matstud.org.ua/ojs/index.php/matstud/article/view/476}, DOI={10.30970/ms.61.1.3-9}, abstractNote={<p>For a one-to-one partial mapping on an infinite set, we present a criterion in terms of its cycle-chain decomposition that the inverse subsemigroup generated by this mapping is monogenic free inverse.</p> <p><br>We also give a sufficient condition for a regular rooted tree partial automorphism to extend to a partial automorphism of another regular rooted tree so that the inverse semigroup gene\-ra\-ted by this extended partial automorphism is monogenic free inverse. The extension procedure we develop is then applied to $n$-ary adding machines.</p>}, number={1}, journal={Matematychni Studii}, author={Kochubinska, E. and Oliynyk, A.}, year={2024}, month={Mar.}, pages={3-9} }