The Set of Derivatives in a Non-Archimedean Field.
The solution of a minimax problem connected to the irreducibility of polynominals.
The stability of tachyonic field system by factorization method.
The strong primitive normal basis theorem
The structure of ideals in the Banach algebra of Lipschitz functions over valued fields
The structure of strongly normal difference extensions.
The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields
Let F/E be a Galois extension of number fields with Galois group . In this paper, we give some expressions for the order of the Sylow p-subgroups of tame kernels of F and some of its subfields containing E, where p is an odd prime. As applications, we give some results about the order of the Sylow p-subgroups when F/E is a Galois extension of number fields with Galois group .
The tensor product of polynomials.
The tropical Grassmannian.
The Undecidability of Pseudo Real Closed Fields.
Théorème de la clôture lq-modulaire et applications
Let K be a purely inseparable extension of a field k of characteristic p ≠ 0. Suppose that is finite. We recall that K/k is lq-modular if K is modular over a finite extension of k. Moreover, there exists a smallest extension m/k (resp. M/K) such that K/m (resp. M/k) is lq-modular. Our main result states the existence of a greatest lq-modular and relatively perfect subextension of K/k. Other results can be summarized in the following: 1. The product of lq-modular extensions over k is lq-modular...
Theoreme de Pfister pour les varietes et anneaux de Witt reduits.
Théorème des zéros effectif et élimination
Les paragraphes 1 et 2 rappellent les circonstances de l'exposé oral, tandis que le paragraphe 3 aborde un aspect particulier de la théorie de l'élimination : une notion de multiplicité d'un idéal en un point. Cette partie est le fruit de passionnantes discussions avec F. Amoroso.
Théorème d'irréductibilité de Hilbert effectif
Théorèmes de division sur et applications
Théorie algébrique de la croissance
Théorie arithmétique des corps de nombres de degré infini. II. Extensions algébriques de degré infini
Théorie de Baire -adique
Theorie der goniometrischen und der longimetrischen Quaternionen [Book]
Théorie des modèles pour des anneaux de fonctions entières et des corps de fonctions méromorphes