Order positive fields II
Margarita Korovina, Oleg Kudinov
TL;DR
This paper proves that the real closure of an order positive field remains order positive, extending previous research to include non-Archimedean cases, thus broadening the understanding of order positive fields.
Contribution
It establishes that the real closure of an order positive field is also order positive, even in non-Archimedean contexts, advancing the theory of order positive fields.
Findings
Real closure of order positive fields is order positive.
This holds true in non-Archimedean cases.
Extends previous results in the theory of order positive fields.
Abstract
This paper is a part of ongoing research on order positive fields started some years ago. We prove that the real closure of an order positive field even in non-Archimedean case is also order positive.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical and Theoretical Analysis · Advanced Topology and Set Theory