Angeordnete affine Ebenen als Ebenen mit einem System von Halbgeraden, und euklidische Ebenen, die genau eine Anordnung besitzen.
Annihilating polynomials for quadratic forms.
Annulation de T-filtres par des fonctions croulantes
Appendice à l’article d’Eduardo Corel : Calcul des réseaux de Levelt
Un algorithme est présenté pour calculer en toute généralité le « réseau de Levelt » pour un réseau donné.
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.
Application de la généralisation du principe de correspondance à la théorie de l'élimination
Application de la logique à un problème de dimension diophantienne sur les corps
Applications d'un corps fini dans lui-même
Applications of differential algebra to algebraic independence of arithmetic functions
We generalize and unify the proofs of several results on algebraic independence of arithmetic functions and Dirichlet series by using a theorem of Ax on the differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature.
Approche numérique de la structure du groupe des classes des extensions abéliennes de
Are the coefficients of a polynomial well-conditioned functions of its roots?
Arithmetic differential equations in several variables
We survey recent work on arithmetic analogues of ordinary and partial differential equations.
Arithmetic on two dimensional local rings.
Arithmetic over the rings of all algebraic integers.
Arithmetic specializations in polynomials.
Arithmetically independent integers and values of rational functions.
Arithmetization of the field of reals with exponentiation extended abstract
(1) Shepherdson proved that a discrete unitary commutative semi-ring A+ satisfies IE0 (induction scheme restricted to quantifier free formulas) iff A is integral part of a real closed field; and Berarducci asked about extensions of this criterion when exponentiation is added to the language of rings. Let T range over axiom systems for ordered fields with exponentiation; for three values of T we provide a theory in the language of rings plus exponentiation such that the ...
Around Podewski's conjecture
A long-standing conjecture of Podewski states that every minimal field is algebraically closed. Known in positive characteristic, it remains wide open in characteristic zero. We reduce Podewski's conjecture to the (partially) ordered case, and we conjecture that such fields do not exist. We prove the conjecture in case the incomparability relation is transitive (the almost linear case). We also study minimal groups with a (partial) order, and give a complete classification of...
Arten und Gattungen von Abbildungsgruppen. Ein elementares Beispiel aus der Galoisschen Theorie.
Assigning the invariant factors by feedback