Commutative domains large in their -adic completions
Compactifications de Bohr d'anneaux et de modules
Complete local factorial rings which are not Cohen-Macaulay in characteristic
Completeness in semi-local ideal lattices
Conservation des propriétés des fibres formelles d'un anneau semi-local noethérien par complétion adique
Construction of -groups with quasi-divisors theory
A method is presented making it possible to construct -groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups , where are finitely atomic root systems. Some examples of these constructions are presented.
Continuous valuations.
Contracting the socle in rings of continuous functions
Convergence sets of divergent power series.
Convexity, valuations and Prüfer extensions in real algebra.
Correction à : « Anneau filtré de Gelfand »
Critères de platitude et de projectivité Techniques de "platification" d'un module.
Cycles of distance-decreasing mappings in the ring of n-adic integers
We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
Das zariskische Diskriminantenkriterium und die Fortsetzung von Derivationen.
Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C [[x,y]]. Incidence des cellules - II -.
Dependence of valuations.
Der Cohensche Eliminationssatz in positiver Charakteristik
Derivations and Deformations of Artinian Algebras
Diagonales de fractions rationnelles et équations de Picard-Fuchs
Diagonalization and rationalization of algebraic Laurent series
We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only depends on...