Higher level orders on noncommutative rings

DOI10.1016/0022-4049(90)90049-NzbMath0721.16026MaRDI QIDQ2640682

Victoria Powers

Publication date: 1990

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

zbMATH Keywords

polynomial ringsOre conditionpreorderordering of higher levelnon-commutative ringsordered division ringsorders of level 1space of maximal orderings

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Ordered fields (12J15)

Related Items (8)

The Noncommutative Graded Positivstellensatz ⋮ Orderings of higher level on noetherian rings ⋮ The real spectrum of a noncommutative ring ⋮ The real spectrum of a noncommutative ring and the Artin-Lang homomorphism theorem ⋮ Embedding ordered valued domains into division rings ⋮ HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS ⋮ Complete precones on noncommutative integral domains ⋮ Archimedean preorderings in non-commutative semialgebraic geometry

Cites Work

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• Higher level reduced Witt rings of skew fields
• Holomorphy rings and higher level orders on skew fields
• An introduction to real algebra
• Signatures of higher level on rings with many units
• On the topological space of all orderings of a skew field
• Witt rings and orderings of skew fields
• Note on ordered groups and rings
• Sommes de puissances d-ièmes dans un anneau commutatif

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