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Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/5322

Título: Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
Autor: Fernandes, Vitor H.
Gomes, Gracinda M. S.
Jesus, Manuel M.
Palavras-chave: Congruences
Order-preserving
Order-reversing
Transformations
Issue Date: 2005
Editora: Cambridge University Press
Resumo: This paper is mainly dedicated to describing the congruences on certain monoids of transformations on a finite chain Xn with n elements. Namely, we consider the monoids ODn and PODn of all full, respectively partial, transformations on Xn that preserve or reverse the order, as well as the submonoid POn of PODn of all its order-preserving elements. The inverse monoid PODIn of all injective elements of PODn is also considered. We show that in POn any congruence is a Rees congruence, but this may not happen in the monoids ODn, PODIn and PODn. However in all these cases the congruences form a chain.
Descrição: Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424
URI: http://hdl.handle.net/10362/5322
ISSN: 0017-0895
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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