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Order

, Volume 28, Issue 3, pp 377–385 | Cite as

The Order on the Rationals has an Orthogonal Order with the Same Order Type

  • Norbert Sauer
  • Imed ZaguiaEmail author
Article

Abstract

Two orders on the same set are orthogonal if the constant maps and the identity map are the only maps preserving both orders. We construct linear orders orthogonal to the order on the rationals.

Keywords

Ordered set Autonomous set Order preserving map Endomorphism Clone Perpendicular orders Orthogonal orders Ordered relational structures 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada
  2. 2.Department of Mathematics & Computer ScienceRoyal Military College of CanadaKingstonCanada

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