-valuations and ordered
-fields
Author:
Samuel S. Holland
Journal:
Trans. Amer. Math. Soc. 262 (1980), 219-243
MSC:
Primary 12E15; Secondary 12J20, 16A28, 16A39, 16A40
DOI:
https://doi.org/10.1090/S0002-9947-1980-0583853-8
Erratum:
Trans. Amer. Math. Soc. 267 (1981), 333.
MathSciNet review:
583853
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We generalize elementary valuation theory to *-fields (division rings with involution), apply the generalized theory to the task of ordering *-fields, and give some applications to Hermitian forms.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1980-0583853-8
Article copyright:
© Copyright 1980
American Mathematical Society