CLASSIFICATION OF THE MAXIMAL SUBSEMIGROUPS OF THE SEMIGROUP OF ALL PARTIAL ORDER-PRESERVING TRANSFORMATIONS *
Ilinka Dimitrova, Tsvetelina Mladenova · Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics) · 2012
Let P Tn be the semigroup of all partial transformations on an n - element set. A transformation α ∈ P Tn is called order-preserving if x ≤ y implies xα ≤ yα for all x, y from the domain of α. In this paper we describe the maximal subsemigroups of the semigroup P On of all partial order-preserving transformations.