Geodesic
Classification of the Maximal Subsemigroups of the Semigroup of all Partial Order-Preserving Transformations
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 158-162.

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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. *2000 Mathematics Subject Classification: 20M20.
Keywords: Transformation Semigroups, Partial Order-Preserving Transformations, Maximal Sub-Semigroups 
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Dimitrova, Ilinka; Mladenova, Tsvetelina. Classification of the Maximal Subsemigroups of the Semigroup of all Partial Order-Preserving Transformations. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 158-162. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a13/