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

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

Language: English

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