On formally real division algebras and quasifields of finite rank

DOI10.1007/BF01237497zbMath0894.12004MaRDI QIDQ1385220

Franz B. Kalhoff

Publication date: 21 June 1998

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

zbMATH Keywords

finite rankproper formally real division algebrasproper formally real quasifields

Mathematics Subject Classification ID

Ordered geometries (ordered incidence structures, etc.) (51G05) Generalizations of fields (12K99) Ordered fields (12J15) Nonassociative division algebras (17A35)

Cites Work

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• Formal power series over Cartesian groups and their spaces of orderings
• Uniform valuations on planar ternary rings
• The Banach fixed point theorem for ultrametric spaces
• Orderings, algebras and projective planes
• Topological projective planes and uniform valuations
• On ordered algebras

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