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Separably closed fields with Hasse derivations. (English) Zbl 1039.03031
Summary: In 1995, M. Messmer and C. Wood [ibid. 60, 898–910 (1995; Zbl 0841.03019)] 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 Messmer and Wood’s approach, our Hasse derivations are iterative.

MSC:
03C60 Model-theoretic algebra
12L12 Model theory of fields
03C10 Quantifier elimination, model completeness and related topics
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