On the Transition Semigroups of Centrally Labeled Rauzy Graphs
نویسندگان
چکیده
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. A projective limit of the partial semigroups of nonzero regular elements of their transition semigroups is described. If the subshift is minimal, then this projective limit is isomorphic, as a partial semigroup, to the J -class associated to it in the free pro-aperiodic semigroup.
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ورودعنوان ژورنال:
- IJAC
دوره 22 شماره
صفحات -
تاریخ انتشار 2012