Holomorphy rings and higher level orders on skew fields
type: Item
instance of: scholarly article
title: Holomorphy rings and higher level orders on skew fields
zbMATH Open document ID: 0715.12002
DOI: 10.1016/0021-8693(91)90063-E
author: Victoria Powers
published in: Journal of Algebra
publication date: 1991-01-01T00:00:00Z
review text: The author extends Becker's theory of higher level orders and preorders to division rings as far as this theory can go. Her main tool is an extension of valuation theory from fields to division rings. She also finds a sensible generalization of the concept of Prüfer ring to subrings of division rings. Finally, she shows that all her commutative theorems [Math. Z. 198, No. 4, 545--554 (1988; Zbl 0627.10014)] are valid for division rings.
reviewed by: A.F.T.W.Rosenberg
Mathematics Subject Classification ID: 12E15
Mathematics Subject Classification ID: 16W80
Mathematics Subject Classification ID: 11E81
Mathematics Subject Classification ID: 12J15
Mathematics Subject Classification ID: 16K20
Mathematics Subject Classification ID: 06F25
zbMATH DE Number: 4177217
zbMATH Keywords: signatures of higher level
zbMATH Keywords: preordered skew fields
zbMATH Keywords: spaces of signatures
zbMATH Keywords: higher level forms
zbMATH Keywords: reduced Witt rings
zbMATH Keywords: valuation
zbMATH Keywords: Kadison Dubois representation theorem
zbMATH Keywords: noncommutative Prüfer rings
zbMATH Keywords: division rings
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4177217