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  1.  5
    Open Core and Small Groups in Dense Pairs of Topological Structures.Elías Baro & Amador Martin-Pizarro - 2021 - Annals of Pure and Applied Logic 172 (1):102858.
    Dense pairs of geometric topological fields have tame open core, that is, every definable open subset in the pair is already definable in the reduct. We fix a minor gap in the published version of van den Dries's seminal work on dense pairs of o-minimal groups, and show that every definable unary function in a dense pair of geometric topological fields agrees with a definable function in the reduct, off a small definable subset, that is, a definable set internal to (...)
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  2.  7
    Un critère simple.Thomas Blossier & Amador Martin-Pizarro - 2019 - Notre Dame Journal of Formal Logic 60 (4):639-663.
    Nous isolons des propriétés valables dans certaines théories de purs corps ou de corps munis d’opérateurs afin de montrer qu’une théorie est simple lorsque les clôtures définissables et algébriques sont contrôlées par une théorie stable associée.
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  3.  12
    À la Recherche du Tore Perdu.Thomas Blossier, Amador Martin-Pizarro & Frank O. Wagner - 2016 - Journal of Symbolic Logic 81 (1):1-31.
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  4.  21
    Fusion Over a Vector Space.Andreas Baudisch, Amador Martin-Pizarro & Martin Ziegler - 2006 - Journal of Mathematical Logic 6 (2):141-162.
    Let T1 and T2 be two countable strongly minimal theories with the DMP whose common theory is the theory of vector spaces over a fixed finite field. We show that T1 ∪ T2 has a strongly minimal completion.
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  5.  15
    Introduction.Zoé Chatzidakis, David Marker, Amador Martin-Pizarro, Rahim Moosa & Sergei Starchenko - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):277-277.
    Zoé Chatzidakis , David Marker , Amador Martin-Pizarro , Rahim Moosa , Sergei Starchenko Source: Notre Dame J. Formal Logic, Volume 54, Number 3-4, 277--277.
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  6.  6
    Equational Theories of Fields.Amador Martin-Pizarro & Martin Ziegler - 2020 - Journal of Symbolic Logic 85 (2):828-851.
    A first-order theory is equational if every definable set is a Boolean combination of instances of equations, that is, of formulae such that the family of finite intersections of instances has the descending chain condition. Equationality is a strengthening of stability. We show the equationality of the theory of proper extensions of algebraically closed fields and of the theory of separably closed fields of arbitrary imperfection degree.
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