Commuting polynomial vectors over an integral domain
Computing -removed -orderings and -orderings of order
We develop a recursive method for computing the -removed -orderings and -orderings of order the characteristic sequences associated to these and limits associated to these sequences for subsets of a Dedekind domain This method is applied to compute these objects for and .
Conjecture Jacobienne et opérateurs différentiels
Connectedness Properties of Polynomial Maps Between Affine Spaces.
Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals
Dénominateurs dans le théorème des zéros de Hilbert
Dérivées et différences divisées à valeurs entières
Determining Integer-Valued Polynomials From Their Image
This note summarizes a presentation made at the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra. All the work behind it is joint with Scott T. Chapman, and will appear in [2]. Let represent the ring of polynomials with rational coefficients which are integer-valued at integers. We determine criteria for two such polynomials to have the same image set on .
Dimension de l'anneau des polynomes a valeurs entieres.
Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
Effective Nullstellensatz for arbitrary ideals
Let be polynomials in variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials such that . The effective versions of this result bound the degrees of the in terms of the degrees of the . The aim of this paper is to generalize this to the case when the are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz–type inequalities and to deformation theory are also discussed.
Eine Bemerkung zum Kardinalprodukt
Factorisation de Ritt pour les polynômes exponentiels formels
Finite Polynomial Orbits in Finitely Generated Domains.
Forms and mappings. I: Generalities
Formules explicites intervenant dans la division euclidienne des polynômes à coefficients dans un anneau unitaire et applications diverses
Further generalizations of the Fibonacci-coefficient polynomials.
Ganzzahlige Funktionen natürlicher Zahlen.
Generalization of the -Noetherian concept
Let be a commutative ring and a multiplicative system of ideals. We say that is -Noetherian, if for each ideal of , there exist and a finitely generated ideal such that . In this paper, we study the transfer of this property to the polynomial ring and Nagata’s idealization.
Hilbert rings and the chain condition for prime ideals.