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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| Date: | 2018 |
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| Main Author: | |
| 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| _version_ | 1856543262890786816 |
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| author | Oliynyk, Andriy |
| author_facet | Oliynyk, Andriy |
| author_sort | Oliynyk, Andriy |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:17:05Z |
| 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. |
| first_indexed | 2025-12-02T15:31:55Z |
| format | Article |
| id | admjournalluguniveduua-article-653 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:31:55Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| 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 |
| spellingShingle | Oliynyk, Andriy Free semigroups in wreath powers of transformation semigroups |
| title | 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_short | Free semigroups in wreath powers of transformation semigroups |
| title_sort | free semigroups in wreath powers of transformation semigroups |
| topic | |
| topic_facet | |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/653 |
| work_keys_str_mv | AT oliynykandriy freesemigroupsinwreathpowersoftransformationsemigroups |