REPRESENTATION THEORY OF FINITE SEMIGROUPS, SEMIGROUP RADICALS AND FORMAL LANGUAGE THEORY

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

Jorge Almeida (Autor) FCUP; Stuart Margolis (Autor) Outra; Benjamin Steinberg (Autor) Outra; Mikhail Volkov (Autor) Outra

Revista

Título: Transactions of the American Mathematical Society

Vol. 361

Páginas: 1429-1461

ISSN: 0002-9947

Editora: American Mathematical Society

Indexação

ISI Web of Knowledge - 46 Citações

Scopus - 50 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-SAQ

Abstract (EN): In this paper we characterize the congruence associated to the direct sum of all irreducible representations of a finite semigroup over an arbitrary field, generalizing results of Rhodes for the field of complex numbers. Applications are given to obtain many new results, as well as easier proofs of several results in the literature, involving: triangularizability of finite semigroups; which semigroups have ( split) basic semigroup algebras, two-sided semidirect product decompositions of finite monoids; unambiguous products of rational languages; products of rational languages with counter; and Cerny's conjecture for an important class of automata.

Idioma: Inglês

Tipo (Avaliação Docente): Científica