ON SYMMETRIC CUTS OF A REAL-CLOSED FIELD

DOI10.17223/19988621/53/1zbMath1506.12007OpenAlexW2911081237WikidataQ128569250 ScholiaQ128569250MaRDI QIDQ5042946

N. Y. Galanova

Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu645

zbMATH Keywords

real closed fieldfield of bounded formal power seriescofinality of cutsymmetric cuttruncation closed field

Mathematics Subject Classification ID

Transcendental field extensions (12F20) Ordered fields (12J15)

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• Model theory
• Embedding ordered fields in formal power series fields
• Quite complete real closed fields
• Introduction to model theory and to the metamathematics of algebra
• Every real closed field has an integer part
• Symmetry of cuts in fields of formal power series
• On the Existence of Real-Closed Fields That Are η α -Sets of Power ℵ α
• TOTALLY ORDERED FIELDS WITH SYMMETRIC GAPS