Hereditarily non-pythagorean fields
نویسندگان
چکیده
We prove for a large class of fields $F$ that every proper finite extension $F_{pyth}$, the pythagorean closure $F$, is not field. This contains number and are finitely generated transcendence degree at least one over some subfield $F$.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.01.013