Pseudovarieties of Ordered Completely Regular Semigroups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Almeida, J (Autor) FCUP; Klima, O (Autor) Outra

Revista

Título: Results in Mathematics

Vol. 74

ISSN: 1422-6383

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00Q-BKC

DOI: 10.1007/s00025-019-0998-7

Abstract (EN): This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 28