Hereditarily pythagorean fields, infinite Harrison-primes and sums of 2ⁿth powers

DOI10.1090/S0002-9904-1978-14474-7zbMath0398.12013OpenAlexW2113340620WikidataQ114094110 ScholiaQ114094110MaRDI QIDQ4182811

Eberhard Becker

Publication date: 1978

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1978-14474-7

zbMATH Keywords

Formally Real FieldsHereditarily Pythagorean Fields

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15)

Related Items (3)

Division rings and the square root of -1 ⋮ The many aspects of the Pythagorean triangles ⋮ Zum Darstellungssatz von Kadison-Dubois

Cites Work

• Characterization of fans and hereditarily pythagorean fields
• Unendliche algebraische Zahlkörper, über denen jede Gleichung auflösbar von beschränkter Stufe ist
• Infinite primes of fields and completions
• Valuations and real places in the theory of formally real fields
• Finite and infinite primes for rings and fields
• Sommes de puissances d-ièmes dans un anneau commutatif

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