The pseudoidentity problem and reducibility for completely regular semigroups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2001

Autores

Almeida, J (Autor) FCUP; Trotter, PG (Autor) Outra

Revista

Título: Bulletin of the Australian Mathematical Society

Vol. 63

Páginas: 407-433

ISSN: 0004-9727

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 13 Citações

Scopus - 13 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-V9F

Abstract (EN): Necessary and sufficient conditions for equality over the pseudovariety CR of all finite completely regular semigroups are obtained. They are inspired by the solution of the word problem for free completely regular semigroups and clarify the role played by groups in the structure of such semigroups. A strengthened version of Ash's inevitability theorem (K-reducibility of the pseudovariety G of all finite groups) is proposed as an open problem and it is shown that, if this stronger version holds, then CR is also re-reducible and, therefore, hyperdecidable.

Idioma: Inglês

Tipo (Avaliação Docente): Científica