# Dynamical systems arising from units in Krull rings

@article{Miles2001DynamicalSA, title={Dynamical systems arising from units in Krull rings}, author={Richard Miles}, journal={aequationes mathematicae}, year={2001}, volume={61}, pages={113-127} }

Summary. To a countable Krull ring R and units
$ \xi_1,\dots,\xi_d \in R $ we associate a
$ {Bbb Z}^d $-action by automorphisms of the compact abelian group
$ \widehat{R} $. This generalizes the 'S-integer' dynamical systems described by Chothi, Everest and Ward. We examine the extent to which some of their results extend and investigate the relationship between algebraic properties of R and dynamical properties of the associated action.

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