Dynamical systems arising from units in Krull rings

MILES, Richard (2001). Dynamical systems arising from units in Krull rings. Aequationes Mathematicae, 61 (1-2), 113-127.

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Official URL: https://doi.org/10.1007/s000100050164
Link to published version:: 10.1007/s000100050

Abstract

To a countable Krull ring R and units ξ1,…,ξd∈Rξ1,…,ξd∈R we associate a BbbZdBbbZd -action by automorphisms of the compact abelian group RˆR^ . 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.

Item Type: Article
Departments: Development and Society > Teacher Education
Identification Number: 10.1007/s000100050
Depositing User: Richard Miles
Date Deposited: 26 Jan 2018 12:15
Last Modified: 26 Jan 2018 12:15
URI: http://shura.shu.ac.uk/id/eprint/17242

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