Equidivisibility and profinite coproduct

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

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

Revista

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Título: QUAESTIONES MATHEMATICAE

Vol. 46

Páginas: 2243-2275

ISSN: 1607-3606

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00X-WQM

DOI: 10.2989/16073606.2022.2148586

Abstract (EN): The aim of this work is to investigate the behavior of equidivisibility under coproduct in the category of pro-V semigroups, where V is a pseudovariety of finite semigroups. Exploring the relationship with the two-sided Karnofsky-Rhodes expansion, the notions of KR-cover and strong KR-cover for profinite semigroups are introduced. The former is stronger than equidivisibility and the latter provides a characterization of equidivisible profinite semigroups with an extra mild condition, so-called letter super-cancellativity. Furthermore, under the assumption that V is closed under two-sided Karnofsky-Rhodes expansion, closure of some classes of equidivisible pro-V semigroups under (finite) V-coproduct is established.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 33