Refining some inequalities.
Rein inseparable Körpererweiterungen.
Rekursive Unentscheidbarkeit der Theorie der pythagoräischen Körper
Relations between K2 and Galois Cohomology.
Relations de Fuchs pour les systèmes différentiels réguliers
Dans cet article, nous montrons que la notion analytique d’exposants développée par Levelt pour les systèmes différentiels linéaires en une singularité régulière s’interprète algébriquement en termes d’invariants de réseaux, relatifs à un réseau stable maximal que nous appelons « réseau de Levelt ». Nous obtenons en particulier un encadrement pour la somme des exposants des systèmes n’ayant que des singularités régulières sur ).
Relations linéaires entre solutions d'une équation différentielle
Relative Bogomolov extensions
A subfield K ⊆ ℚ̅ has the Bogomolov property if there exists a positive ε such that no non-torsion point of has absolute logarithmic height below ε. We define a relative extension L/K to be Bogomolov if this holds for points of . We construct various examples of extensions which are and are not Bogomolov. We prove a ramification criterion for this property, and use it to show that such extensions can always be constructed if some rational prime has bounded ramification index in K.
Relative Spectral Norm on Algebraic Numbers
Relatively complete ordered fields without integer parts
We prove a convenient equivalent criterion for monotone completeness of ordered fields of generalized power series with exponents in a totally ordered Abelian group G and coefficients in an ordered field F. This enables us to provide examples of such fields (monotone complete or otherwise) with or without integer parts, i.e. discrete subrings approximating each element within 1. We include a new and more straightforward proof that is always Scott complete. In contrast, the Puiseux series field...
Relèvement galoisien d'invariant de Clifford équivariant.
Remark On Some Results Of S. Prešić And S. Zervos
Remarks and corrections to the paper "Principal ideal theorems for holomorphy rings in fields".
Remarks on Banach- -algebras. (Remarques sur les -algèbres de Banach.)
Remarks on existentially closed fields and diophantine equations
Remarks on the Algebraic Approach to Intersection Theory.
Remarks on the Composite G-valuations and their Hypermetric Properties
Remarks on the elementary theories of formal and convergent power series
Remarks on the intrinsic inverse problem
The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.
Remarks on the Pythagoras and Hasse number of real fields.
Remarques sur la structure galoisienne des unités des corps de nombres