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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Approximation properties for orderings on $ *$-fields


Author: Thomas C. Craven
Journal: Trans. Amer. Math. Soc. 310 (1988), 837-850
MSC: Primary 12J15; Secondary 12D15, 12E15, 16A39
MathSciNet review: 973179
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Abstract: The goal of this paper is to extend the main theorems on approximation properties of the topological space of orderings from formally real fields to skew fields with an involution $ ^{\ast}$. To accomplish this, the concept of $ ^{\ast}$-semiordering is developed and new theorems are obtained for lifting $ ^{\ast}$orderings from the residue class field of a real valuation.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0973179-X
PII: S 0002-9947(1988)0973179-X
Keywords: Baer ordering, $ ^{\ast}$-valuation, SAP
Article copyright: © Copyright 1988 American Mathematical Society