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Algebra universalis

, 79:81 | Cite as

o-Groups of finite rank and divisibility in their groups of o-automorphisms

  • Ramiro H. Lafuente-Rodriguez
Article
  • 20 Downloads

Abstract

We provide a full description of totally ordered groups of finite archimedean rank and study solvability of equations of the form \(x^n=g\) in the group of ordered automorphisms of an a-closed totally ordered group G of finite archimedean rank. We also give a full description of these groups of o-automorphisms and a characterization of the elements of a particular group that have an n-th root.

Keywords

Totally ordered-group Archimedean rank Extension of an ordered group Divisible group 

Mathematics Subject Classification

06F15 20B27 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Mathematical Sciences DepartmentUniversity of South DakotaVermillionUSA

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