On the maximal subsemigroups of the semigroup of all monotone transformations
Ilinka Dimitrova, Iliya Gyudzhenov · Discussiones Mathematicae - General Algebra and Applications · 2006
In this paper we consider the semigroup M n of all monotone transformations on the chain X n under the operation of composition of transformations. First we give a presentation of the semigroup M n and some propositions connected with its structure. Also, we give a description and some properties of the class Jn-1 of all monotone transformations with rank n -1. After that we characterize the maximal subsemigroups of the semigroup M n and the subsemigroups of M n which are maximal in Jn-1 .