Exponentiation in power series fields

DOI10.1090/S0002-9939-97-03964-6zbMath0888.12004arXivmath/9608214MaRDI QIDQ4372399

Salma Kuhlmann, Saharon Shelah, Franz-Viktor Kuhlmann

Publication date: 11 December 1997

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

Full work available at URL: https://arxiv.org/abs/math/9608214

zbMATH Keywords

ordered abelian groupconvex valuationspower series fieldsnon-Archimedean ordered fieldsordered exponential fields

Mathematics Subject Classification ID

Total orders (06A05) Non-Archimedean valued fields (12J25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordered fields (12J15)

Related Items (23)

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Cites Work

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• On the structure of nonarchimedean exponential fields. I
• Maximal fields with valuations. I, II
• Maximality and Ultracompleteness in Normed Modules
• On the structure of nonarchimedean exponential fields. II^*
• Functorial equations for lexicographic products
• On Exponentially Closed Fields
• Eine nichtarchimedische Erweiterung angeordneter Körper
• Function Theory on Some Nonarchimedean Fields
• On Ordered Division Rings

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