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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | 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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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 |
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Algebra and Discrete Mathematics |
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2018-04-04T09:17:05Z |
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OJS |
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English |
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Oliynyk, Andriy Free semigroups in wreath powers of transformation semigroups |
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| format |
Article |
| 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 |
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AT oliynykandriy freesemigroupsinwreathpowersoftransformationsemigroups |
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2025-12-02T15:31:55Z |
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2025-12-02T15:31:55Z |
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