Lengths of Roots of Polynomials in a Hahn Field

Let K be an algebraically closed field of characteristic 0, and let G be a divisible ordered Abelian group. Maclane [Bull. Am. Math. Soc., 45, 888-890 (1939)] showed that the Hahn field K (( G )) is algebraically closed. Our goal is to bound the lengths of roots of a polynomial p ( x ) over K (( G )...

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Veröffentlicht in:	Algebra and logic 2021-05, Vol.60 (2), p.95-107
Hauptverfasser:	Knight, J. F., Lange, K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abelian groups Algebra Fields, Algebraic Group theory Logic Mathematical analysis Mathematical Logic and Foundations Mathematical research Mathematics Mathematics and Statistics Physical Sciences Polynomials Science & Technology Science & Technology - Other Topics
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