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...
Valuations and lengths of constructible modules.
Vanishing Tensor Powers of Modules.
Vector bundles on the cone over a curve
Weak multiplication modules
In this paper we characterize weak multiplication modules.
Weak multiplication modules over a pullback of Dedekind domains
Let R be the pullback, in the sense of Levy [J. Algebra 71 (1981)], of two local Dedekind domains. We classify all those indecomposable weak multiplication R-modules M with finite-dimensional top, that is, such that M/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.
Wenn B ein Hauptidealring ist, so sind alle projektiven B [X, Y]-Moduln frei.
When is each proper overring of R an S(Eidenberg)-domain?
A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dimv(R) = 2 and L = qf(R).
When is every order ideal a ring ideal?
A lattice-ordered ring is called an OIRI-ring if each of its order ideals is a ring ideal. Generalizing earlier work of Basly and Triki, OIRI-rings are characterized as those -rings such that is contained in an -ring with an identity element that is a strong order unit for some nil -ideal of . In particular, if denotes the set of nilpotent elements of the -ring , then is an OIRI-ring if and only if is contained in an -ring with an identity element that is a strong order unit....
Whitehead Modules over Domains.
Zero-dimensional pairs.
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.
Zur endlichen homologischen Dimension von Differentialmoduln.
Zur Längenberechnung der Torsion äusserer Potenzen.
Zur lokalen Kohomologie des kanonischen Moduls.