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Abelian Kernels of Monoids ofOrder-preserving Maps and ofSome of Its Extensions

Authors:	Manuel?Delgado author-information" > author-information__contact u-icon-before" > mailto:mdelgado@fc.up.pt" title=" mdelgado@fc.up.pt" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Vítor H.?Fernandes author-information" > author-information__contact u-icon-before" > mailto:vhf@mail.fct.unl.pt" title=" vhf@mail.fct.unl.pt" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Centro de Matemática, Universidade do Porto Rua do Campo Alegre, 687 4169-007 Porto, Portugal;(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 Lisboa, Portugal

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

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