A note on finite generated subsemigroups of T(X,Y)
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Date
2015
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Lekkoksung N.
Koppitz, J.
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
It is well known that a countable set of transformations on an innite set X is contained in a two-generated subsemigroup of the full transformation semigroup on X. If Y X, then T(X; Y ), the set of all transformations on X with an image in Y , forms a semigroup of transformations with restricted range, as shown in 1975 by Symons [10]. In this paper, we give a sucient and necessary condition for a countable subset of T(X; Y ) to be contained in a three-generated subsemigroup of T(X; Y ).
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Mathematics for Applications. 2015 vol. 4, č. 1, s. 25-30. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/4_1/ma_4_1_lekkoksung_koppitz_final.pdf
http://ma.fme.vutbr.cz/archiv/4_1/ma_4_1_lekkoksung_koppitz_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky