Efficient generation of zero dimensional ideals in polynomial rings.
Ein Beweis des Hilbertschen Basissatzes.
Eine Anwendung des Selbergschen Siebes auf algebraische Zahlkörper
Einige Probleme der Erweiterungstheorie lokaler Ringe
Elasticity of factorizations in atomic monoids and integral domains
For an atomic domain , its elasticity is defined by : for irreducible . We study the elasticity of one-dimensional noetherian domains by means of the more subtle invariants defined by : for irreducible . As a main result we characterize all orders in algebraic number fields having finite elasticity. On the way, we obtain a series of results concerning the invariants and for monoids and integral domains which are of independent interest.
Equations for the set of overrings of normal rings and related ring extensions
We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.
Erratum to : “The finite free extension of artinian -algebras with the strong Lefschetz property” [Rend. Sem. Mat. Univ. Padova 110 (2003), 119–146]
Essai d'une théorie noethérienne homogène pour les anneaux commutatifs dont la graduation est aussi générale que possible
Essential Sequences Over an Ideal and Essential Cograde.
Étude de certains éclatements
Euclidean rings of affine curves.
Exact sequences of pairs in commutative rings