# 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}
}
• R. Miles
• Published 1 February 2001
• Mathematics
• aequationes mathematicae
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.
1 Citations

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