Monogenic free inverse semigroups and partial automorphisms of regular rooted trees
Year:
2024Published in:
Matematychni StudiiFor 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.
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Wreath powers of monogenic inverse monoids
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Authors: Georgiy Shevchenko, A. Oliynyk, Eugenia Kochubinska
On combinatorics of wreath product of finite symmetric inverse semigroups
Publisher: Київський національний університет імені Тараса Шевченка
Authors: Eugenia Kochubinska
On eigenvalues of random partial wreath product
Publisher: XII Мiжнародна алгебраїчна конференцiя в Українi, присвячена 215-й рiчницi з дня народження В. Буняковського
Authors: Olena Krytska, Eugenia Kochubinska
Spectrum of partial automorphisms of regular rooted tree
Publisher: Springer Nature
Authors: Eugenia Kochubinska
On isomorphisms of R- and L-cross‑sections of wreath products of finite inverse symmetric semigroups
Publisher: World Scientific
Authors: Eugenia Kochubinska
Free products of semigroups defined by automata
Publisher: Algebra and Discrete Mathematics
Authors: A. Oliynyk, Eugenia Kochubinska
Максимальні нільпотентні піднапігврупи напівгрупи часткових автоморфізмів кореневих дерев
Publisher: Київський національний університет імені Тараса Шевченка
Authors: Eugenia Kochubinska
On a generalized partial wreath product of semigroups
Publisher: Київський національний університет імені Тараса Шевченка
Authors: I. Semeniuk, Eugenia Kochubinska
On cross‑sections of partial wreath product of inverse semigroups
Publisher: Elsevier
Authors: Eugenia Kochubinska
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