Submodules of secondary modules.
Subrings in trigonometric polynomial rings.
Sulla proprietà di estensione in anelli noetheriani
Supplement to the paper "Improper intersections in complex analytic geometry" (Dissertationes Math. 391 (2001))
Sur deux conjectures de Small
Sur la cohomologie des formes quadratiques
Sur la composition des polynômes
Sur la linéarité de la fonction de Artin
Sur la structure du groupe d'automorphismes de certaines surfaces affines.
We describe the structure of the group of algebraic automorphisms of the following surfaces 1) P1,k x P1,k minus a diagonal; 2) P1,k x P1,k minus a fiber. The motivation is to get a new proof of two theorems proven respectively by L. Makar-Limanov and H. Nagao. We also discuss the structure of the semi-group of polynomial proper maps from C2 to C2.
Sur les Extensions Triviales Commutatives
Nous caractérisons les extensions triviales semiGoldie, de cogénération finie, mininjectives et quasi-Frobeniusiens. Comme application, nous montrons que tout anneau noethérien s’injecte dans un anneau quasi-Frobeniusien.
Sur les -applications
Sur les objets profinis et progénérateurs dans les catégories fermées
Sur les suranneaux minimaux.
The Artin conjecture for Q-algebras.
We give a simplification, in the case of Q-algebras, of the proof of Artin's Conjecture, which says that a regular morphism between Noetherian rings is the inductive limit of smooth morphisms of finite type.
The containment property for large quotient rings.
The differential spectrum of a ring
The Divisor Class Group of Ordinary and Symbolic Blow-ups.
The divisor of the resultant.
The equality in Buchsbaum rings
The factorization of the derivative of Dickson polynomials.