On *-bands and their varieties

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

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

Revista

Título: Rocky Mountain Journal of Mathematics

Vol. 33 Nº 1

Páginas: 217-252

ISSN: 0035-7596

Editora: Rocky Mountain Mathematics Consortium

Indexação

ISI Web of Knowledge - 1 Citação

ISI Web of Science

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-HPF

DOI: 10.1216/rmjm/1181069994

Abstract (EN): A *-band is a semigroup with a unary operation * obeying the axioms (xy)* = y*x*, x** = x, x = xx*x, x(2) = x. On a free involutorial semigroup F on a nonempty set X, we define a family of operators delta(tn) and prove that each of them is a *-homomorphism of F onto its image with a suitable multiplication and the *-operation of F. We then investigate the interplay of this operator with several others occurring in the literature as well as the relationship of the equivalence relations they induce on F or on X+. In particular, we obtain the structural description of all relatively free *-bands. We conclude with a brief consideration of the problem of converting *-identities to equivalent star-free identities.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 36