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Algebra and Discrete Mathematics, 2010, Volume 10, Issue 2, Pages 96–106 (Mi adm51)  
RESEARCH ARTICLE

Free semigroups in wreath powers of transformation semigroups

A. Oliynyk

Department of Mechanics and Mathematics Kyiv Taras Shevchenko University Volodymyrska, 60, Kyiv, 01033
Full-text PDF (218 kB)
Abstract: 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.
Received: 14.09.2010
Revised: 30.11.2010
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Oliynyk, “Free semigroups in wreath powers of transformation semigroups”, Algebra Discrete Math., 10:2 (2010), 96–106
Citation in format AMSBIB
\Bibitem{Oli10}
\by A.~Oliynyk
\paper Free semigroups in wreath powers of transformation semigroups
\jour Algebra Discrete Math.
\yr 2010
\vol 10
\issue 2
\pages 96--106
\mathnet{http://mi.mathnet.ru/adm51}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2884746}
\zmath{https://zbmath.org/?q=an:1212.20074}
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