Quasi-ordered Desarguesian affine spaces

DOI10.1007/BF01258519zbMath0733.51010MaRDI QIDQ809358

Helga Tecklenburg

Publication date: 1991

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

affine spacebetweenness functiongeneralized orderingsquasi-ordered skew-fieldsquasi-ordered spaces

Mathematics Subject Classification ID

Ordered geometries (ordered incidence structures, etc.) (51G05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Desarguesian and Pappian geometries (51A30)

Related Items (3)

Quasi-ordered affine planes and ternary rings ⋮ The axiomatics of ordered geometry: I. Ordered incidence spaces ⋮ Ordered Line and Skew-Fields in the Desargues Affine Plane

Cites Work

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• Metrische affine Ebenen
• Ein Beitrag zur Axiomatik metrisch-affiner Ebenen von Charakteristik \(\neq 2\)
• Quasi-ordered affine planes and ternary rings
• Pseudo-Euklidische Ebenen und Euklidische Räume
• Die Ordnungsfunktionen einer Geometrie

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