NDLI: A problem about the weak Hilbert property

Content Provider	Springer Nature Link
Author	Guangxing, Zeng
Copyright Year	1998
Abstract	In this paper, we prove the main result: Let both (K, S) and (K ,S ) be preordered fields, and let (K ,S ) be a finitely generated extension of (K, S). IfK * is transcendental overK, then (K ,S ) has the weak Hilbert property. This result answers negatively an open problem posed by the author in reference [1]. Moreover, some results on the weak Hilbert property are established.
Ending Page	486
Page Count	6
Starting Page	481
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	4
Volume Number	14
Language	English
Publisher	Springer-Verlag
Publisher Date	1998-01-01
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ordered fields Ordered field Positive definite polynomial The weak Hilbert property Mathematics Preordered field Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A problem about the weak Hilbert property