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Piotr Kowalski
Universität Regensburg
  1.  11
    Existentially Closed Fields with Finite Group Actions.Daniel M. Hoffmann & Piotr Kowalski - 2018 - Journal of Mathematical Logic 18 (1):1850003.
    We study algebraic and model-theoretic properties of existentially closed fields with an action of a fixed finite group. Such fields turn out to be pseudo-algebraically closed in a rather strong sense. We place this work in a more general context of the model theory of fields with a group scheme action.
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    Geometric Axioms for Existentially Closed Hasse Fields.Piotr Kowalski - 2005 - Annals of Pure and Applied Logic 135 (1-3):286-302.
    We give geometric axioms for existentially closed Hasse fields. We prove a quantifier elimination result for existentially closed n-truncated Hasse fields and characterize them as reducts of existentially closed Hasse fields.
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    A Note on a Theorem of Ax.Piotr Kowalski - 2008 - Annals of Pure and Applied Logic 156 (1):96-109.
    We state and prove a generalization of Ax’s theorem on the transcendence degree of solutions of the differential equation of the exponential map. We also discuss a positive characteristic analogue of this theorem.
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  4. Co Kochamy?: Polacy W Poszukiwaniu Wartości.Piotr Kowalski, Stanisław Zagórski & Janusz Tazbir (eds.) - 2009 - Stopka.
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    Strongly Minimal Reducts of Valued Fields.Piotr Kowalski & Serge Randriambololona - 2016 - Journal of Symbolic Logic 81 (2):510-523.