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
Main Author: Oliynyk, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
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
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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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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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last_indexed 2025-11-28T11:08:26Z
publishDate 2010
publisher Інститут прикладної математики і механіки НАН України
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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