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Free profinite semigroups over some classes of semigroups locally in DG

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Detalhes bibliográficos
Resumo:This paper is concerned with the structure of semigroups of implicit operations on various subpseudovarieties V of DReG intersection with LDG, where DReG and DG are the pseudovarieties of all semigroups S in which each regular D-class is, respectively, a rectangular group and a group, and where LDG is the pseudovariety of semigroups locally in DG. As an application, we give a characterization of the variety of languages recognized by semigroups in V and derive some join decompositions of pseudovarieties.
Autores principais:Costa, José Carlos
Assunto:Semigroup Pseudovariety Profinite semigroup Locally in DG Regular language Join of pseudovarieties
Ano:2000
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:This paper is concerned with the structure of semigroups of implicit operations on various subpseudovarieties V of DReG intersection with LDG, where DReG and DG are the pseudovarieties of all semigroups S in which each regular D-class is, respectively, a rectangular group and a group, and where LDG is the pseudovariety of semigroups locally in DG. As an application, we give a characterization of the variety of languages recognized by semigroups in V and derive some join decompositions of pseudovarieties.