*-valuations and ordered *-fields

Holland, Samuel S.

doi:10.1090/S0002-9947-1980-0583853-8

$^{\ast }$-valuations and ordered $^{\ast }$-fields
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by Samuel S. Holland

Trans. Amer. Math. Soc. 262 (1980), 219-243

DOI: https://doi.org/10.1090/S0002-9947-1980-0583853-8

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Erratum: Trans. Amer. Math. Soc. 267 (1981), 333.

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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