Browsing Algebra and Discrete Mathematics. - № 2 (26). - 2018 by Subject "semigroup"

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Abelian doppelsemigroups

Zhuchok, A.V.; Knauer, K. (ДЗ"ЛНУ імені Тараса Шевченко", 2018)

A doppelsemigroup is an algebraic system consisting of a set with two binary associative operations satisfying certain identities. Doppelsemigroups are a generalization of semi-groups and they have relationships with such ...
Spectral properties of partial automorphisms of a binary rooted tree

Kochubinska, E. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)

We study asymptotics of the spectral measure of a randomly chosen partial automorphism of a rooted tree. To every partial automorphism x we assign its action matrix Ax. It is shown that the uniform distribution on eigenvalues ...

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