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Separably closed fields with higher derivations. I. (English) Zbl 0841.03019
Summary: We define a complete theory $$SHF_e$$ of separably closed fields of finite invariant $$e$$ (= degree of imperfection) which carry an infinite stack of Hasse-derivations. We show that $$SHF_e$$ has quantifier elimination and eliminates imaginaries.

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