Algebra and discrete mathematics, Tome 10 (2010) no. 2, pp. 96-106
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A. Oliynyk. Free semigroups in wreath powers of transformation semigroups. Algebra and discrete mathematics, Tome 10 (2010) no. 2, pp. 96-106. http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/
@article{ADM_2010_10_2_a7,
author = {A. Oliynyk},
title = {Free semigroups in wreath powers of transformation semigroups},
journal = {Algebra and discrete mathematics},
pages = {96--106},
year = {2010},
volume = {10},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/}
}
TY - JOUR
AU - A. Oliynyk
TI - Free semigroups in wreath powers of transformation semigroups
JO - Algebra and discrete mathematics
PY - 2010
SP - 96
EP - 106
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/
LA - en
ID - ADM_2010_10_2_a7
ER -
%0 Journal Article
%A A. Oliynyk
%T Free semigroups in wreath powers of transformation semigroups
%J Algebra and discrete mathematics
%D 2010
%P 96-106
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/
%G en
%F ADM_2010_10_2_a7
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.
