Finiteness and Regularity in Semigroups and Formal Languages

Lingua: inglese

Editore: Springer Berlin Heidelberg, 2011

3642641504 / 9783642641503

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The aim of this monograph is to present some recent research work on the combinatorial aspects of the theory of semigroups which are of great inter est for both algebra and theoretical computer science. This research mainly concerns that part of combinatorics of finite and infinite words over a finite alphabet which is usually called the theory of 'unavoidable' regularities. The unavoidable regularities ofsufficiently large words over a finite alpha bet are very important in the study of finiteness conditions for semigroups. This problem consists in considering conditions which are satisfied by a fi nite semigroup and are such as to assure that a semigroup satisfying them is finite. The most natural requirement is that the semigroup is finitely gener ated. Ifone supposes that the semigroup is also periodic the study offiniteness conditions for these semigroups (or groups) is called the Burnside problem for semigroups (or groups). There exists an important relationship with the theory of finite automata because, as is well known, a language L over a fi nite alphabet is regular (that is, recognizable by a finite automaton) if and only if its syntactic monoid S(L) is finite. Hence, in principle, any finite ness condition for semigroups can be translated into a regularity condition for languages. The study of finiteness conditions for periodic languages (Le. , such that the syntactic semigroup is periodic) has been called the Burnside problem for languages.

Codice articolo 9783642641503

Titolo
Finiteness and Regularity in Semigroups and Formal Languages
Autore
Stefano Varricchio
Editore
Springer Berlin Heidelberg
Anno di pubblicazione
2011
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3642641504
ISBN 13
9783642641503
Peso dell'articolo
394 grammi
Dimensioni
235x155x15 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 30 a 40 giorni lavorativiDa 7 a 14 giorni lavorativi
Primo articoloEUR 61,97EUR 71,97
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