Free semigroups in wreath powers of transformation semigroups

• 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
• 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.

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...