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aequationes mathematicae

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

Dynamical systems arising from units in Krull rings

  • R. Miles
  • 25 Downloads

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.

Keywords

Dynamical System Abelian Group Dynamical Property Algebraic Property Compact Abelian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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: r.miles@uea.ac.ukUK

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