Ordered Desarguesian Affine Hjelmslev Planes

Abstract

<p>The first chapter provides basic prerequisites. In the second chapter we demonstrate that an ordered Desarguesian A. H. plane is coordinated by an ordered A. H. ring. We then show that given an ordered A. H. ring, one can construct an ordered Desarguesian A.H. plane. In the remaining chapters we give an example of such a structure and examine its relationship to the associated ordinary affine plane, the radical in the A. H. ring and the Archimedean axiom.</p>