TY - JOUR
AU - Kochubinska, E.
AU - Oliynyk, A.
PY - 2024/03/19
Y2 - 2024/07/18
TI - Monogenic free inverse semigroups and partial automorphisms of regular rooted trees
JF - Matematychni Studii
JA - Mat. Stud.
VL - 61
IS - 1
SE - Articles
DO - 10.30970/ms.61.1.3-9
UR - http://www.matstud.org.ua/ojs/index.php/matstud/article/view/476
SP - 3-9
AB - 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.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.
ER -