Holomorphy rings and higher level orders on skew fields

DOI10.1016/0021-8693(91)90063-EzbMath0715.12002MaRDI QIDQ752076

Victoria Powers

Publication date: 1991

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

zbMATH Keywords

valuationdivision ringspreordered skew fieldsspaces of signatureshigher level formsKadison Dubois representation theoremnoncommutative Prüfer ringsreduced Witt ringssignatures of higher level

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Skew fields, division rings (12E15) Ordered fields (12J15)

Related Items

The Noncommutative Graded Positivstellensatz ⋮ Real spectra of quantum groups ⋮ Orderings of higher level on noetherian rings ⋮ \(n\)-real valuations and the higher level version of the Krull-Baer theorem. ⋮ HIGHER PRODUCT PYTHAGORAS NUMBERS OF SKEW FIELDS ⋮ Higher level orders on noncommutative rings ⋮ The real spectrum of a noncommutative ring ⋮ Places on ∗- fields and the real holomorphy ring ⋮ The real spectrum of a noncommutative ring and the Artin-Lang homomorphism theorem ⋮ A Kadison-Dubois representation for associative rings. ⋮ Central Extensions of n-Ordered Division Rings ⋮ HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS ⋮ The Joly-Becker theorem for \(*\)-orderings ⋮ Complete precones on noncommutative integral domains ⋮ The Witt ring of a space of signatures ⋮ A Variant of Higher Product Levels of Integral Domains and *-Domains ⋮ Central extensions of ordered skew fields

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