Equidivisible pseudovarieties of semigroups

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

Autores

Almeida, J (Autor) FCUP; Costa, A (Autor) Outra

Revista

Título: Publicationes Mathematicae

Vol. 90

Páginas: 435-453

ISSN: 0033-3883

Editora: Kossuth Lajos Tudomanyegyetem

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 9 Citações

Outras Informações

ID Authenticus: P-00N-2MP

DOI: 10.5486/pmd.2017.7634

Abstract (EN): We give a complete characterization of pseudovarieties of semigroups whose finitely generated relatively free profinite semigroups are equidivisible. They, besides the pseudovarieties of completely simple semigroups, are precisely the pseudovarieties that are closed under Mal'cev product on the left by the pseudovariety of locally trivial semigroups. A further characterization, which turns out to be instrumental, states that they are the non-completely simple pseudovarieties that are closed under two-sided Karnofsky Rhodes expansion.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19