Positive Cones and Gauges on Algebras With Involution
INTERNATIONAL MATHEMATICS RESEARCH NOTICES(2022)
摘要
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.
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