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Relative Abelian kernels of some classes of transformation monoids

Published online by Cambridge University Press:  17 April 2009

E. Cordeiro
Instituto Politécnico de Bragança, Escola Superior de Tecnologia e Gestão, Campus de Santa Apolónia, 5301-857 Bragança, Portugal, e-mail:
M. Delgado
Departamento de Matemática Pura, Faculdade de Ciências, 4169-007 Porto, Portugal, e-mail:
V.H. Fernandes
Departamento de Matemática, Universidade Nova de Lisboa, Monte da Caparica, 2829-516 Caparica, Portugal, C.A.U.L., 1649-003 Lisboa, Portugal, e-mail:
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We consider the symmetric inverse monoid ℐn of an n-element chain and its inverse submonoids ℐn, ℐn, ℐn and ℘ℐn of all order-preserving, order-preserving or order-reversing, orientation-preserving and orientation-preserving or orientation-reversing transformations, respectively, and give descriptions of their Abelian kernels relative to decidable pseudovarieties of Abelian groups.

Research Article
Copyright © Australian Mathematical Society 2006


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