Anneaux locaux et espaces de lacets à séries de Poincaré irrationnelles
Anneaux locaux et unisériels
Anneaux méta-noethériens
Anneaux presque intégralement clos
Annihilators of local homology modules
Let be a local ring, an ideal of and a nonzero Artinian -module of Noetherian dimension with . We determine the annihilator of the top local homology module . In fact, we prove that where denotes the smallest submodule of such that . As a consequence, it follows that for a complete local ring all associated primes of are minimal.
Anwendung von Ideal - Transformationen.
Appendice à l'article précédent par Ph. Nuss: Une formule de Künneth pour la décomposition de l'homologie cyclique des algèbres commutatives.
Applications of Factor Categories to Completely Indecomposable Modules
Applications of Functional Analysis to the Solution of Power Series Equations.
Applications polynômiales à jacobienne constante
Applicazioni dell’algebra differenziale all’identificabilità strutturale di modelli non lineari
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 diophantienne dans les corps de séries en plusieurs variables
Nous montrons ici un théorème d’approximation diophantienne entre le corps des séries formelles en plusieurs variables et son complété pour la topologie de Krull.
Approximation Properties and Existential Completeness for Ring Morphisms.
Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
Archimedean frames, revisited
This paper extends the notion of an archimedean frame to frames which are not necessarily algebraic. The new notion is called joinfitness and is Choice-free. Assuming the Axiom of Choice and for compact normal algebraic frames, the new and the old coincide. There is a subfunctor from the category of compact normal frames with skeletal maps with joinfit values, which is almost a coreflection. Conditions making it so are briefly discussed. The concept of an infinitesimal element arises naturally,...
Arithmetic euclidean rings
Arithmetic functions over rings with zero divisors.
Arithmetic of block monoids
Arithmetic of non-principal orders in algebraic number fields
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.