Journal article

On cross-sections of partial wreath product of inverse semigroups

Year:

2007

Published in:

Elsevier
Inverse semigroup
partial transformation semigroup
partial wreath product
Green’s relations
cross-section
rooted tree
partial automorphism

We classify R- and L-cross-sections of partial wreath product of inverse semigroups. As a corollary, we get the description of R- and L-cross-sections of the semigroup PAut T of partial automorphisms of finite regular rooted tree T and compute also the number of different R- (L-) cross-sections in this semigroup.

Other publications by

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2025
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Wreath powers of monogenic inverse monoids

Publisher: Springer US

Authors: Georgiy Shevchenko, A. Oliynyk, Eugenia Kochubinska

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Journal article

Максимальні нільпотентні піднапігврупи напівгрупи часткових автоморфізмів кореневих дерев

Publisher: Київський національний університет імені Тараса Шевченка

Authors: Eugenia Kochubinska

2019
Conference proceedings

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

2013
Journal article

On combinatorics of wreath product of finite symmetric inverse semigroups

Publisher: Київський національний університет імені Тараса Шевченка

Authors: Eugenia Kochubinska

2009
Journal article

On isomorphisms of R- and L-cross‑sections of wreath products of finite inverse symmetric semigroups

Publisher: World Scientific

Authors: Eugenia Kochubinska

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