Ordered Line and Skew-Fields in the Desargues Affine Plane

zbMath1473.51002arXiv1905.03859MaRDI QIDQ5152493

Orgest Zaka, James F. Peters

Publication date: 24 September 2021

Full work available at URL: https://arxiv.org/abs/1905.03859

zbMATH Keywords

Desargues affine planeaffine Pappus conditionordered lineordered skew-field

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Skew fields, division rings (12E15) Ordered fields (12J15) Desarguesian and Pappian geometries (51A30)

Related Items (1)

Dyck fundamental group on arcwise-connected polygon cycles

Cites Work

• Quasi-ordered Desarguesian affine spaces
• A proof of the theorem of Pappus in finite Desarguesian affine planes
• Order-isomorphisms in affine spaces
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• Geometry Through History
• Isomorphic-Dilations of the skew-fields constructed over parallel lines in the Desargues affine plane
• The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
• Skew-field of trace-preserving endomorphisms, of translation group in affine plane
• Computational Geometry, Topology and Physics of Digital Images with Applications
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