Spreads In Projective Hjelmslev Spaces over Finite Chain Rings Cover Image

Spreads In Projective Hjelmslev Spaces over Finite Chain Rings
Spreads In Projective Hjelmslev Spaces over Finite Chain Rings

Author(s): Ivan Landjev
Subject(s): Education, ICT Information and Communications Technologies
Published by: Нов български университет
Keywords: projective Hjelmslev plane; spread; arc; oval; finite chain ring; AMS Mathematics Subject Classification; 51E26; 51E21; 51E22; 94B05;

Summary/Abstract: We prove a necessary and sufficient condition for the existence of spreads in the projective Hjelmslev geometries PHG. Further, we give a construction of projective Hjelmslev planes from spreads that generalizes the familiar construction of projective planes from spreads in PG.

  • Issue Year: 4/2008
  • Issue No: 1
  • Page Range: 139-146
  • Page Count: 8
  • Language: English