Semigroup Forum

, Volume 68, Issue 3, pp 335–356 | Cite as

Abelian Kernels of Monoids of Order-preserving Maps and of Some of Its Extensions

  • Manuel DelgadoEmail author
  • Vítor H. FernandesEmail author
Research Article


We compute the abelian kernels of some monoids of partial transformations. More precisely, the cases of the symmetric inverse monoid, monoids of order-preserving or order-reversing transformations and monoids of orientation-preserving or orientation-reversing transformations are treated.


Partial Transformation Inverse Monoid Abelian Kernel Symmetric Inverse Monoid 
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Copyright information

© Springer-Verlag New York Inc. 2004

Authors and Affiliations

  1. 1.Centro de Matemática, Universidade do Porto Rua do Campo Alegre, 687 4169-007 PortoPortugal
  2. 2.Departamento de Matemática, Faculdade de Ciencias e Tecnologia, Universidade Nova de Lisboa Monte da Caparica, 2829-516 Caparica and C.A.U.L., 1649-003 LisboaPortugal

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