On the maximal subsemigroups of the semigroup of all monotone transformations
Iliya Gyudzhenov ; Ilinka Dimitrova
Discussiones Mathematicae - General Algebra and Applications, Tome 26 (2006), p. 199-217 / Harvested from The Polish Digital Mathematics Library
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In this paper we consider the semigroup Mₙ of all monotone transformations on the chain Xₙ under the operation of composition of transformations. First we give a presentation of the semigroup Mₙ and some propositions connected with its structure. Also, we give a description and some properties of the class J̃n-1 of all monotone transformations with rank n-1. After that we characterize the maximal subsemigroups of the semigroup Mₙ and the subsemigroups of Mₙ which are maximal in J̃n-1.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:276874 
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     journal = {Discussiones Mathematicae - General Algebra and Applications},
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     year = {2006},
     pages = {199-217},
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Iliya Gyudzhenov; Ilinka Dimitrova. On the maximal subsemigroups of the semigroup of all monotone transformations. Discussiones Mathematicae - General Algebra and Applications, Tome 26 (2006) pp. 199-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1112/

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