Über Automorphismen eines Annullatorenverbandes gewisser Teilringe im Endomorphismenring eines homogenen vollständig reduziblen Moduls
Über das Verhalten der Betti-Reihe eines lokalen Ringes bei monoidalen Transformationen
Über den regulären Ort in ausgezeichneten Ringen.
Ueber die minimale Dimension der assoziierten Primideale der Komplettion eines lokalen Integritätsbereiches.
Un exemple d'anneau caténaire
Un modello riducibile per somma diretta d’un dato -modulo localmente libero, con P.E.
Unimodular rows over Laurent polynomial rings
We prove that for any ring of Krull dimension not greater than 1 and , the group acts transitively on . In particular, we obtain that for any ring with Krull dimension not greater than 1, all finitely generated stably free modules over are free. All the obtained results are proved constructively.
Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain
Unobstructedness and dimension of families of Gorenstein algebras.
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a polynomial ring R. We prove a very general theorem on deformations of the homogeneous coordinate ring of a scheme Proj(A) which is defined as the degeneracy locus of a regular section of the dual of some sheaf M of rank r supported on say an arithmetically Cohen-Macaulay subscheme Proj(B) of Proj(R). Under certain conditions (notably; M maximally Cohen-Macaulay and ∧r M ≈ KB(t) a twist of the canonical...