Structure and transcendence degree of \(\eta_{\alpha +1}\)-fields and ultrapowers of fields

DOI10.1016/0021-8693(79)90190-XzbMath0417.12009OpenAlexW2001687259MaRDI QIDQ754918

Cornelius Greither

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90190-x

zbMATH Keywords

transcendence degreeultrapowereta-fieldszeta-fields

Mathematics Subject Classification ID

Ultraproducts and field theory (12L10)

Cites Work

• Model theory
• Good ideals in fields of sets
• Diophantine problems over local fields. III: Decidable fields
• Maximal fields with valuations. I, II
• An isomorphism theorem for real-closed fields
• Some remarks on $η_α$-sets
• On the Existence of Real-Closed Fields That Are η α -Sets of Power ℵ α
• Diophantine Problems Over Local Fields I
• Rings of Real-Valued Continuous Functions. I
• Generalized Power Series Fields
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