Complete kappa-reducibility of pseudovarieties of the form DRH

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Almeida, J (Autor) FCUP; Borlido, C (Autor) Outra

Revista

Título: International Journal of Algebra and Computation

Vol. 27

Páginas: 189-235

ISSN: 0218-1967

Editora: World Scientific

Indexação

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Outras Informações

ID Authenticus: P-00M-NKN

DOI: 10.1142/s0218196717500096

Abstract (EN): We denote by. the implicit signature that contains the multiplication and the (omega-1)-power. It is proved that for any completely kappa-reducible pseudovariety of groups H, the pseudovariety DRH of all finite semigroups whose regular R-classes are groups in H is completely kappa-reducible as well. The converse also holds. The tools used by Almeida, Costa, and Zeitoun for proving that the pseudovariety of all finite R-trivial monoids is completely kappa-reducible are adapted for the general setting of a pseudovariety of the form DRH.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 47