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arxiv: 1303.4158 · v3 · pith:VZ32N6FFnew · submitted 2013-03-18 · 🧮 math.DS

A Construction of Subshifts and a Class of Semigroups

classification 🧮 math.DS
keywords mathcalpropertyshiftsclassgraphgraphssemigroupssubshifts
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Subshifts with property $(A)$ are constructed from a class of directed graphs. As special cases the Markov-Dyck shifts are shown to have property $(A)$. The semigroups, that are associated to $\mathcal R$-graph shifts with Property (A), are determined. Also results on the reconstruction of $\mathcal R$-graphs from their $\mathcal R$-graph shifts are obtained.

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