caa a22 4500 445344806 CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00233-011-9292-z doi (NATIONALLICENCE)springer-10.1007/s00233-011-9292-z Oliynyk A. Kyiv Taras Shevchenko University, Kyiv, Ukraine aut Finite state wreath powers of transformation semigroups [Elektronische Daten] [A. Oliynyk] The finite state wreath power of a transformation semigroup is introduced. It is proved that the finite state wreath power of nontrivial semigroup is not finitely generated and in some cases even does not contain irreducible generating systems. The free product of two monogenic semigroups of index 1 and period m is constructed in the finite state wreath power of corresponding monogenic monoid. Springer Science+Business Media, LLC, 2011 Finite state wreath power nationallicence Transformation semigroup nationallicence Semitransitive action nationallicence Generating system nationallicence Monogenic semigroup nationallicence Free product nationallicence Semigroup Forum Springer-Verlag 82/3(2011-06-01), 423-436 0037-1912 82:3<423 2011 82 233 https://doi.org/10.1007/s00233-011-9292-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9292-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Oliynyk A. Kyiv Taras Shevchenko University, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/3(2011-06-01), 423-436 0037-1912 82:3<423 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer