The free idempotent generated locally inverse semigroup

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

Autores

Luís Oliveira (Autor) FCUP

Revista

Título: Semigroup Forum

Vol. 96

Páginas: 452-473

ISSN: 0037-1912

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 1 Citação

Classificação Científica

CORDIS: Ciências Físicas > Matemática

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00Q-E5R

DOI: 10.1007/s00233-017-9882-5

Abstract (EN): In this paper we construct a model for the free idempotent generated locally inverse semigroup on a set X. The elements of this model are special vertex-labeled bipartite trees with a pair of distinguished vertices. To describe this model, we need first to introduce a variation of a model for the free pseudosemilattice on a set X presented in Auinger and Oliveira (On the variety of strict pseudosemilattices. Stud Sci Math Hungarica 50:207¿241, 2013). A construction of a graph associated with a regular semigroup was presented in Brittenham et al. (Subgroups of free idempotent generated semigroups need not be free. J Algebra 321:3026¿3042, 2009) in order to give a first example of a free regular idempotent generated semigroup on a biordered set E with non-free maximal subgroups. If G is the graph associated with the free pseudosemilattice on X, we shall see that the models we present for the free pseudosemilattice on X and for the free idempotent generated locally inverse semigroup on X are closely related with the graph G. © Springer Science+Business Media New York 2017.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 22