7 found
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  1.  5
    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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  2. Sous-groupes additifs de rangs dénombrables dans un corps séparablement clos.Thomas Blossier - 2011 - Archive for Mathematical Logic 50 (3-4):459-476.
    Pour tout entier n, on construit des sous-groupes, infiniment définissables de rang de Lascar ω n , du groupe additif d’un corps séparablement clos.
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  3.  5
    Subgroups of the Additive Group of a Separably Closed Field.Thomas Blossier - 2005 - Annals of Pure and Applied Logic 134 (2-3):169-216.
    We study the infinitely definable subgroups of the additive group in a separably closed field of finite positive imperfection degree. We give some constructions of families of such subgroups which confirm the diversity and the richness of this class of groups. We show in particular that there exists a locally modular minimal subgroup such that the division ring of its quasi-endomorphisms is not a fraction field of the ring of its definable endomorphisms, and that in contrast there exist 20 pairwise (...)
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  4.  33
    Finitely Axiomatizable Strongly Minimal Groups.Thomas Blossier & Elisabeth Bouscaren - 2010 - Journal of Symbolic Logic 75 (1):25-50.
    We show that if G is a strongly minimal finitely axiomatizable group, the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring.
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  5.  23
    Automorphism Groups of Trivial Strongly Minimal Structures.Thomas Blossier - 2003 - Journal of Symbolic Logic 68 (2):644-668.
    We study automorphism groups of trivial strongly minimal structures. First we give a characterization of structures of bounded valency through their groups of automorphisms. Then we characterize the triplets of groups which can be realized as the automorphism group of a non algebraic component, the subgroup stabilizer of a point and the subgroup of strong automorphisms in a trivial strongly minimal structure, and also we give a reconstruction result. Finally, using HNN extensions we show that any profinite group can be (...)
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  6.  7
    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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  7. Additive Subgroups of Rows in a Countable Separably Closed.Thomas Blossier - 2011 - Archive for Mathematical Logic 50 (3-4):459 - 476.
     
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