On fixed points of the lower set operator

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Jorge Almeida (Autor) FCUP; Ondrej Klima (Autor) Outra; Jean-Eric Pin (Autor) Outra; Antonio Cano (Autor) Outra

Revista

Título: International Journal of Algebra and Computation

Vol. 25

Páginas: 259-292

ISSN: 0218-1967

Editora: World Scientific

Indexação

ISI Web of Knowledge - 5 Citações

ISI Web of Science

Scopus - 7 Citações

Classificação Científica

CORDIS: Ciências Físicas > Ciência de computadores ; Ciências Físicas > Matemática > Álgebra

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00A-AN1

DOI: 10.1142/s021819671540010x

Abstract (EN): Lower subsets of an ordered semigroup form in a natural way an ordered semigroup. This lower set operator gives an analogue of the power operator already studied in semigroup theory. We present a complete description of the lower set operator applied to varieties of ordered semigroups. We also obtain large families of fixed points for this operator applied to pseudovarieties of ordered semigroups, including all examples found in the literature. This is achieved by constructing six types of inequalities that are preserved by the lower set operator. These types of inequalities are shown to be independent in a certain sense. Several applications are also presented, including the preservation of the period for a pseudovariety of ordered semigroups whose image under the lower set operator is proper.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 34