Planar Division Neo-Rings

DOI10.2307/1993000zbMath0066.28201OpenAlexW4253187672MaRDI QIDQ3226821

Daniel Hughes

Publication date: 1955

Full work available at URL: https://doi.org/10.2307/1993000

zbMATH Keywords

rings, modules, fields

Related Items (20)

Loops of order \(p^ n+1\) with transitive automorphism groups ⋮ A general coordinatization principle for projective planes with comparison of Hall and Hughes frames and with examples of generalized oval frames ⋮ On projective planes of type I-4 ⋮ Combinatorial structures in loops. IV: Steiner triple systems in neofields ⋮ The apparent structure of dense Sidon sets ⋮ On existence of AIP neofields of odd order ⋮ On finite planes of type I-4 and planar division neo-rings ⋮ Projective planes, loops, and groups. ⋮ The isotrophisms of planar ternary rings. II ⋮ Coordinatizing polynars ⋮ Bol quasi-fields and Pappus' theorem ⋮ Parastrophic planar ternary rings ⋮ Additive and Multiplicative Loops of Planar Ternary Rings ⋮ Planare Neokörper mit additiven Kürzungsregeln ⋮ Über projektive Ebenen des Lenz-Barlotti-Typs I.3 ⋮ Commutativity in finite planes of type I-4 ⋮ Topologische distributive Doppelloops ⋮ Collineations and Generalized Incidence Matrices ⋮ Von Staudt conics in semifield planes ⋮ The geometry of binary systems

Cites Work

• Unnamed Item
• Cyclic projective planes
• Neofields
• Loops with transitive automorphism groups
• Stufen der Begründung der ebenen affinen Geometrie
• THE 7 × 7 SQUARES
• On the Commutativity of Addition
• The Nonexistence of Certain Finite Projective Planes
• Projective Planes
• On orthogonal Latin squares
• Contributions to the Theory of Loops
• Analogues of the Ring of Rational Integers
• Difference Sets in a Finite Group

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