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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2010 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154867 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Free semigroups in wreath powers of transformation semigroups / A. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 96–106. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862605161643376640 |
|---|---|
| author | Oliynyk, A. |
| author_facet | Oliynyk, A. |
| citation_txt | Free semigroups in wreath powers of transformation semigroups / A. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 96–106. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-28T11:08:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154867 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| language | English |
| last_indexed | 2025-11-28T11:08:26Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Oliynyk, A. 2019-06-16T05:51:53Z 2019-06-16T05:51:53Z 2010 Free semigroups in wreath powers of transformation semigroups / A. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 96–106. — Бібліогр.: 8 назв. — англ. https://nasplib.isofts.kiev.ua/handle/123456789/154867 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free semigroups in wreath powers of transformation semigroups Article published earlier |
| spellingShingle | Free semigroups in wreath powers of transformation semigroups Oliynyk, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154867 |
| work_keys_str_mv | AT oliynyka freesemigroupsinwreathpowersoftransformationsemigroups |