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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Дата:2018
Автор: Oliynyk, Andriy
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
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Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling admjournalluguniveduua-article-6532018-04-04T09:17:05Z Free semigroups in wreath powers of transformation semigroups Oliynyk, Andriy 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 subsemigroups are free. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653 Algebra and Discrete Mathematics; Vol 10, No 2 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653/187 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
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datestamp_date 2018-04-04T09:17:05Z
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Oliynyk, Andriy
Free semigroups in wreath powers of transformation semigroups
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author Oliynyk, Andriy
author_facet Oliynyk, Andriy
author_sort Oliynyk, Andriy
title Free semigroups in wreath powers of transformation semigroups
title_short Free semigroups in wreath powers of transformation semigroups
title_full Free semigroups in wreath powers of transformation semigroups
title_fullStr Free semigroups in wreath powers of transformation semigroups
title_full_unstemmed Free semigroups in wreath powers of transformation semigroups
title_sort free semigroups in wreath powers of transformation semigroups
description 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 subsemigroups are free.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653
work_keys_str_mv AT oliynykandriy freesemigroupsinwreathpowersoftransformationsemigroups
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