Analytic and Polynominal Homomorphisms of Analytic Rings.
Analytic curves in power series rings
André-Homologie für gewisse Kategorien von Ringen mit Fasersumme.
Anneau filtre de Gelfand
Anneaux de Fatou
Anneaux henséliens et approximations
Anneaux henséliens et conditions de chaînes. III
Applications of Functional Analysis to the Solution of Power Series Equations.
Approximate roots of a valuation and the Pierce-Birkhoff conjecture
In this paper, we construct an object, called a system of approximate roots of a valuation, centered in a regular local ring, which describes the fine structure of the valuation (namely, its valuation ideals and the graded algebra). We apply this construction to valuations associated to a point of the real spectrum of a regular local ring . We give two versions of the construction: the first, much simpler, in a special case (roughly speaking, that of rank 1 valuations), the second – in the case...
Approximation Properties and Existential Completeness for Ring Morphisms.
Arithmetic on two dimensional local rings.
Artin Approximation and Formal Fibres of Local Rings.
Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.
Associated primes, integral closures and ideal topologies
Let ⊆ be ideals of a Noetherian ring R, and let N be a non-zero finitely generated R-module. The set Q̅*(,N) of quintasymptotic primes of with respect to N was originally introduced by McAdam. Also, it has been shown by Naghipour and Schenzel that the set of associated primes is finite. The purpose of this paper is to show that the topology on N defined by is finer than the topology defined by if and only if is disjoint from the quintasymptotic primes of with respect to N. Moreover, we show...
Asymptotic Hölder absolute values.
Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm
2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).