Classification problems for shifts on modules over a principal ideal domain
Fabio Fagnani, Sandro Zampieri · Transactions of the American Mathematical Society · 1997
In this paper we study symbolic dynamics over alphabets which are modules over a principal ideal domain, considering topological shifts which are also submodules. Our main result is the classification, up to algebraic and topological conjugacy, of the torsion-free, transitive, finite memory shifts.