aequationes mathematicae

, Volume 61, Issue 1–2, pp 113–127 | Cite as

Dynamical systems arising from units in Krull rings

  • R. Miles


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.


Dynamical System Abelian Group Dynamical Property Algebraic Property Compact Abelian Group 


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Copyright information

© Birkhäuser Verlag, Basel, 2001

Authors and Affiliations

  • R. Miles
    • 1
  1. 1.School of Mathematics, University of East Anglia, Norwich NR4 7TJ, U.K., e-mail:

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