Positive Cones and Gauges on Algebras With Involution

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
LEADER 00820nam a2200145Ia 4500
001 10.1093-imrn-rnaa337
008 220706s2022 CNT 000 0 und d
020 |a 10737928 (ISSN) 
245 1 0 |a Positive Cones and Gauges on Algebras With Involution 
260 0 |b Oxford University Press  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1093/imrn/rnaa337 
520 3 |a 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 for fields. © 2020 The Author(s). 
700 1 |a Astier, V.  |e author 
700 1 |a Unger, T.  |e author 
773 |t International Mathematics Research Notices 

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