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Separably closed fields with Hasse derivations
Journal of Symbolic Logic 68 (1):311-318 (2003)
Abstract
In [6] Messmer and Wood proved quantifier elimination for separably closed fields of finite Ershov invariant e equipped with a (certain) Hasse derivation. We propose a variant of their theory, using a sequence of e commuting Hasse derivations. In contrast to [6] our Hasse derivations are iterativeLinks
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Citations of this work
Model theory of fields with free operators in characteristic zero.Rahim Moosa & Thomas Scanlon - 2014 - Journal of Mathematical Logic 14 (2):1450009.
Pac Structures as Invariants of Finite Group Actions.Daniel Max Hoffmann & Piotr Kowalski - forthcoming - Journal of Symbolic Logic:1-36.
Existentially closed fields with finite group actions.Daniel M. Hoffmann & Piotr Kowalski - 2018 - Journal of Mathematical Logic 18 (1):1850003.
Geometric axioms for existentially closed Hasse fields.Piotr Kowalski - 2005 - Annals of Pure and Applied Logic 135 (1-3):286-302.
Witt Vectors and Separably Closed Fields with Higher Derivations.Daniel Max Hoffmann - 2023 - Notre Dame Journal of Formal Logic 64 (2):173-184.
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