Approximation properties for orderings on $*$-fields
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- by Thomas C. Craven PDF
- Trans. Amer. Math. Soc. 310 (1988), 837-850 Request permission
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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 310 (1988), 837-850
- MSC: Primary 12J15; Secondary 12D15, 12E15, 16A39
- DOI: https://doi.org/10.1090/S0002-9947-1988-0973179-X
- MathSciNet review: 973179