Baer orderings with noninvariant valuation ring
type: Item
instance of: scholarly article
title: Baer orderings with noninvariant valuation ring
zbMATH Open document ID: 0695.16016
DOI: 10.1007/BF02772663
author: Patrick Morandi
author: A. R. Wadsworth
published in: Israel Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: \textit{S. Holland} [see Trans. Am. Math. Soc. 262, 219-243 (1980; Zbl 0482.12009)] introduced a notion of Baer ordering which is applicable to finite-dimensional division algebras with involution. He posed a question about the connection between such orderings and valuations. The authors give examples showing that there is no such connection in general. They also give examples of algebras of any index admitting a Baer ordering. Previously the only known examples were of index \(2^ n\) and of prime index of the form \(4m+3\).
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 16W80
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 06F25
zbMATH DE Number: 4137985
zbMATH Keywords: Baer ordering
zbMATH Keywords: finite-dimensional division algebras with involution
zbMATH Keywords: valuations
reviewed by: Leonid Makar-Limanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4137985