Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang

DOI10.1016/S0315-0860(03)00049-1zbMath1059.51002MaRDI QIDQ1888445

Cinzia Cerroni

Publication date: 23 November 2004

Published in: Historia Mathematica (Search for Journal in Brave)

zbMATH Keywords

quasifieldalternative ringnon-Desarguesian geometry

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) Non-Desarguesian affine and projective planes (51A35) Alternative rings (17D05) History of geometry (51-03)

Related Items (6)

ON THE RELATIONSHIP BETWEEN PLANE AND SOLID GEOMETRY ⋮ Local axioms in disguise: Hilbert on Minkowski diagrams ⋮ Early explicit examples of non-Desarguesian plane geometries ⋮ A case study in formalizing projective geometry in Coq: Desargues theorem ⋮ The Axiomatic Destiny of the Theorems of Pappus and Desargues ⋮ Variations on a theme of Glauberman

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ruth Moufang, 1905-1977
• Max Dehn
• The foundations of projective geometry in Italy from De Paolis to Pieri
• Max Dehn zum Gedächtnis
• Forest Ray Moulton: 1872-1952
• Uniqueness of the Projective Plane of Order Eight
• Das plastische Verhalten von Rohren unter statischem Innendruck bei verschwindender Längsdehnung im Bereich endlicher Verformungen
• Strenge Berechnung der Eigenspannungen, die in plastisch aufgeweiteten Hohlzylindern nach der Entlastung zurückbleiben
• The Structure of Alternative Division Rings
• Uniqueness of the Projective Plane with 57 Points
• Correction to "Uniqueness of the Projective Plane with 57 Points"
• Projective Planes

This page was built for publication: Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang