Characterization of fans in *-fields

DOI10.1016/0022-4049(90)90096-ZzbMath0709.12003OpenAlexW2109899950MaRDI QIDQ921059

Thomas C. Craven

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90096-z

zbMATH Keywords

fansskew field with involutionvaluations on skew fields

Mathematics Subject Classification ID

Skew fields, division rings (12E15) Ordered fields (12J15)

Related Items (5)

Weakly *-ordered *-fields ⋮ Free skew fields have many *-orderings. ⋮ Extension of orderings on *-fields ⋮ Noncrossed Product Division Algebras with a Baer Ordering ⋮ *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.

Cites Work

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• Orderings and valuations on *-fields
• Strong ordering of *-fields
• Witt rings and orderings of skew fields
• Witt groups of Hermitian forms over \(\ast\)-fields
• Characterization of fans and hereditarily pythagorean fields
• Superpythagorean fields
• Approximation Properties for Orderings on ∗ -Fields
• The Witt Ring of a Space of Ordering
• ∗ -Valuations and Ordered ∗ -Fields

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