Easier Waring problems for commutative rings
Ecuaciones lineales y anillos conmutativos.
Effective Nullstellensatz and geometric degree for zero-dimensional ideals
Effektive Konstruktion der algebraischen Erweiterungen von GF (p) sowie der vollständigen Kreisteilungskörper.
Efficient generation of zero dimensional ideals in polynomial rings.
Ehrhart clutters: regularity and max-flow min-cut.
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems.
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems. (Short Communication).
Eindimensionale fast-vollständige Durchschnitte sind nicht starr.
Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes.
Eine Bemerkung zur Quillenschen Lösung des Serreschen Problems.
Elasticity in certain block monoids via the Euclidean table
Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains
We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Elementi indipendenti rispetto ad un ideale
Éléments algébriques remarquables dans un corps de séries formelles
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.
Equations in the Hadamard ring of rational functions
Let be a number field. It is well known that the set of recurrencesequences with entries in is closed under component-wise operations, and so it can be equipped with a ring structure. We try to understand the structure of this ring, in particular to understand which algebraic equations have a solution in the ring. For the case of cyclic equations a conjecture due to Pisot states the following: assume is a recurrence sequence and suppose that all the have a root in the field ; then (after...
Équations linéaires dans les anneaux de polynômes
Équivalence linéaire des idéaux de polynômes
Equivalent Conditions for Unique Factorization