Isomorphic-Dilations of the skew-fields constructed over parallel lines in the Desargues affine plane

zbMath1498.51003arXiv1904.01469MaRDI QIDQ5135384

James F. Peters, Orgest Zaka

Publication date: 20 November 2020

Full work available at URL: https://arxiv.org/abs/1904.01469

zbMATH Keywords

dilatationskew-fieldDesargues affine planetranslations of lines

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Desarguesian and Pappian geometries (51A30)

Related Items (2)

Dyck fundamental group on arcwise-connected polygon cycles ⋮ Ordered Line and Skew-Fields in the Desargues Affine Plane

Cites Work

• A proof of the theorem of Pappus in finite Desarguesian affine planes
• Two forms of proximal physical geometry. Axioms, sewing regions together, classes of regions, duality, and parallel fibre bundles
• Affine planes: An example of research on geometric structures
• Computational Geometry, Topology and Physics of Digital Images with Applications
• Geometry Revealed
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