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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Bibliographic Details
Date:2010
Main Author: Oliynyk, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.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