Semigroup Forum

, Volume 81, Issue 3, pp 551–554 | Cite as

On divisors of semigroups of order-preserving mappings of a finite chain

Short Note

Abstract

We show that if a semigroup T divides a semigroup of full order preserving transformations of a finite chain, then so does any semidirect product ST where S is a finite semilattice whose natural order makes S a chain.

Keywords

Semigroup of order preserving transformations Divisor Semidirect product 

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Departamento de Matemática, Faculdade de Ciências e TecnologiaUniversidade Nova de LisboaCaparicaPortugal
  2. 2.CAULLisboaPortugal
  3. 3.Department of Mathematics and MechanicsUral State UniversityEkaterinburgRussia

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