Deriving DG categories
Des anneaux aux conditions des chaines ascendantes sur les idéaux de type n.
Descent for the K-Theory of Polynomial Rings.
Détermination des diviseurs à coefficients commensurables, d’un degré donné, d’un polynôme entier en à coefficients commensurables
Determination of a class of Poincaré series.
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 .
Diagonales de fractions rationnelles et équations de Picard-Fuchs
Diagonalization and rationalization of algebraic Laurent series
We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only depends on...
Dichte Ringe*
Dickson Polynomials that are Permutations
2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result.Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.
Die Amalgamierungseigenschaft und reine Ringe.
Die atomare Struktur topologischer Boolescher Ringe und s-beschränkter Inhalte
Die Hilbertfunktionen bilden einen Artinschen Verband
Die Isomorphie der Invariantenkörper der endlichen Abelschen Gruppen lineaerer Transformatioen
Die Sätze von Bertini für lokale Ringe.
Die strenge Approximationseigenschaft lokaler Ringe.
Die Struktur flacher lokaler Erweiterungen lokaler Ringe
Die Translationshülle und wesentliche Erweiterungen eines zyklischen Ringes.
Die Verallgemeinerung eines Satzes von Bourbaki und einige Anwendungen.
Differences in sets of lengths of Krull monoids with finite class group
Let be a Krull monoid with finite class group where every class contains some prime divisor. It is known that every set of lengths is an almost arithmetical multiprogression. We investigate which integers occur as differences of these progressions. In particular, we obtain upper bounds for the size of these differences. Then, we apply these results to show that, apart from one known exception, two elementary -groups have the same system of sets of lengths if and only if they are isomorphic.