ON THE TRANSITION SEMIGROUPS OF CENTRALLY LABELED RAUZY GRAPHS

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Jorge Almeida (Author) FCUP; Alfredo Costa (Author) Other

Journal

Title: International Journal of Algebra and Computation

Vol. 22

ISSN: 0218-1967

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-CJR

DOI: 10.1142/S021819671250018X

Abstract (EN): Rauzy graphs of subshifts are endowed with an automaton structure. For Sturmian subshifts, it is shown that its transition semigroup is the syntactic semigroup of the language recognized by the automaton. An inverse limit of the partial semigroups of nonzero regular elements of their transition semigroups is described. If the subshift is minimal, then this inverse limit is isomorphic, as a partial semigroup, to the J -class associated to it in the free pro-aperiodic semigroup.

Language: English

Type (Professor's evaluation): Scientific