Positive Cones and Gauges on Algebras With Involution

We extend the classical links between valuations and orderings on fields to Tignol-Wadsworth gauges and positive cones on finite-dimensional simple algebras with involution. We also study the compatibility of gauges and positive cones and prove lifting results in the style of the Baer-Krull theorem...

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Bibliographic Details
Main Authors: Astier, V. (Author), Unger, T. (Author)
Format: Article
Language:English
Published: Oxford University Press 2022
Online Access:View Fulltext in Publisher