Free semigroups in wreath powers of transformation semigroups

It is established a criterion when the infinite wreath power of a finite transformation semigroup contains a free subsemigroup.  It is shown that the infinite wreath power of a transformation semigroup either contains no  free non-commutative subsemigroups or most of its finitely generated subsemigr...

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Bibliographic Details
Date:2018
Main Author: Oliynyk, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics