Transfer of the notion of -rings to fibre products. (Transfert de la notion de -anneaux aux produits fibres.)
Truncations of the ring of number-theoretic functions.
Two Examples of the Bass-Quillen-Suslin Conjectures.
Über algebraische Relationen zwischen additiven und multiplikativen Funktionen.
Über allgemeine Hyperflächenschnitte einer algebraischen Varietät.
Über Basen nulldimensionaler Polynomideale
Über das assoziierte Ideal zyklischer Polytope
Über die Abbildung Pic A - Pic Af..
Über Hilbertsche Körper.
Ueber cubische ternäre Formen (Zus. mit Gordan).
Un anneau de Prüfer
Let be the ring of integer valued polynomials over . This ring is known to be a Prüfer domain. But it seems there does not exist an algorithm for inverting a nonzero finitely generated ideal of . In this note we show how to obtain such an algorithm by deciphering a classical abstract proof that uses localisations of at all prime ideals of . This confirms a general program of deciphering abstract classical proofs in order to obtain algorithmic proofs.
Un exemple d'anneau caténaire
Une démonstration géométrique du théorème d'Abhyankar-Moh.
Universally Koszul algebras defined by monomials
Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is developed.
Wenn B ein Hauptidealring ist, so sind alle projektiven B [X, Y]-Moduln frei.
When is the last degree solution of a Bézout identity nonnegative on the interval [-1,1]?
We give conditions such that the least degree solution of a Bézout identity is nonnegative on the interval [-1,1].
Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse
Zero-Dimensionality and Serre Rings
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.
Zum Grad von Basis-Eliminationspolynomen und Resultanten