Structure of relatively free bands

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Mario Petrich (Autor) Outra; Pedro V. Silva (Autor) FCUP

Revista

Título: Communications in Algebra

Vol. 30 Nº 9

Páginas: 4165-4187

ISSN: 0092-7872

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 6 Citações

ISI Web of Science

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-R01

DOI: 10.1081/agb-120013311

Abstract (EN): Based on the operators h(n) and i(n) and their duals (H-n) over bar, and (i(n)) over bar defined on the free semigroup X+ for a nonempty set X by Gerhard and Petrich, we introduce here the operators theta(pq) which are proved to be homomorphisms of X+ onto certain subsets of X+ with suitable multiplication. These operators induce fully invariant congruences on X+ corresponding to most of the varieties of bands if X is countably infinite. Variants of operators lambda and rho introduced by the cited authors are used here to elucidate the structure of relatively free bands for most band varieties in conjunction with the operators theta(pq). The few remaining varieties are treated separately.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23