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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2010
1. Verfasser: Oliynyk, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/154867
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
id nasplib_isofts_kiev_ua-123456789-154867
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Free semigroups in wreath powers of transformation semigroups
spellingShingle Free semigroups in wreath powers of transformation semigroups
Oliynyk, A.
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
author Oliynyk, A.
author_facet Oliynyk, A.
publishDate 2010
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
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.
url https://nasplib.isofts.kiev.ua/handle/123456789/154867
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.
work_keys_str_mv AT oliynyka freesemigroupsinwreathpowersoftransformationsemigroups
first_indexed 2025-11-28T11:08:26Z
last_indexed 2025-11-28T11:08:26Z
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