On the P-Rank of the Incidence Matrices of Projective Hjelmslev Planes
On the P-Rank of the Incidence Matrices of Projective Hjelmslev Planes
Author(s): Ivan LandjevSubject(s): Economy, ICT Information and Communications Technologies
Published by: Нов български университет
Keywords: Projective Hjelmslev planes; Finite chain rings; Incidence matrix; p-Rank; Arcs in projective Hjelmslev planes; Computing Classification system; 2012 Mathematics and computing; Discrete mathematics
Summary/Abstract: In this paper, we prove the following theorem: Let R be a finite chain ring with four elements and let Π=PHG(R3) be the projective Hjelmslev plane over the ring R. Denote by AΠ be the point-by-line incidence matrix of Π. Then a) rank AΠ=15 if R=F2[x]/(x2); b) rank AΠ=14 if R=Z4.
Journal: Computer Science and Education in Computer Science
- Issue Year: 13/2017
- Issue No: 1
- Page Range: 257-263
- Page Count: 7
- Language: English
