Maximal immediate extensions of valued differential fields

DOI10.1112/plms.12128zbMath1437.12003arXiv1701.06691OpenAlexW2580502725MaRDI QIDQ4583434

Joris van der Hoeven, Matthias Aschenbrenner, L. P. D. van den Dries

Publication date: 30 August 2018

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

Full work available at URL: https://arxiv.org/abs/1701.06691

zbMATH Keywords

spherically complete immediate strict extensionvalued differential field

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Differential algebra (12H05) General valuation theory for fields (12J20)

Related Items (5)

Differential-henselianity and maximality of asymptotic valued differential fields ⋮ On the uniqueness of maximal immediate extensions of valued differential fields ⋮ Liouville closed \(H_T\)-fields ⋮ \(T\)-convex \(T\)-differential fields and their immediate extensions ⋮ Newtonian valued differential fields with arbitrary value group

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