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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Oxford University Press
2022
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Online Access: | View Fulltext in Publisher |
Summary: | 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). |
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ISBN: | 10737928 (ISSN) |
DOI: | 10.1093/imrn/rnaa337 |