Konstantenreduktion von Ringen und Moduln.
La filtrazione di Gabriel - II
Laskerian lattices
In this paper we investigate prime divisors, -primes and -primes in -lattices. Using them some new characterizations are given for compactly packed lattices. Next, we study Noetherian lattices and Laskerian lattices and characterize Laskerian lattices in terms of compactly packed lattices.
Le spectre d'un anneau dans l'algèbre constructive et applications à la dimension
Le théorème des zéros pour les corps ordonnés
Les idéaux premiers de l'anneau des polynomes à valeurs entières.
Liasion of monomial curves in P3.
Linear gradings of polynomial algebras
Let k be a field, let be a finite group. We describe linear -gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.
Local Chern classes, multiplicities, and perfect complexes
Local monomialization of transcendental extensions
Suppose that are regular local rings which are essentially of finite type over a field of characteristic zero. If is a valuation ring of the quotient field of which dominates , then we show that there are sequences of monoidal transforms (blow ups of regular primes) and along such that is a monomial mapping. It follows that a morphism of nonsingular varieties can be made to be a monomial mapping along a valuation, after blow ups of nonsingular subvarieties.
Locally finite iterative higher derivations on k[x,y]
We give a new proof of Miyanishi's theorem on the classification of the additive group scheme actions on the affine plane.
Loewy coincident algebra and -3 associated graded algebra
We prove that an associated graded algebra of a finite dimensional algebra is (= selfinjective) if and only if is and Loewy coincident. Here is said to be Loewy coincident if, for every primitive idempotent , the upper Loewy series and the lower Loewy series of and coincide. -3 algebras are an important generalization of algebras; note that Auslander algebras form a special class of these algebras. We prove that for a Loewy coincident algebra , the associated graded algebra...
Longueurs de modules constructibles et valuations
Manis valuations and Prüfer extensions
Manis valuations and Prüfer extensions. I.
Maximal compatible splitting and diagonals of Kempf varieties
Lakshmibai, Mehta and Parameswaran (LMP) introduced the notion of maximal multiplicity vanishing in Frobenius splitting. In this paper we define the algebraic analogue of this concept and construct a Frobenius splitting vanishing with maximal multiplicity on the diagonal of the full flag variety. Our splitting induces a diagonal Frobenius splitting of maximal multiplicity for a special class of smooth Schubert varieties first considered by Kempf. Consequences are Frobenius splitting of tangent bundles,...
Maximal non -subrings
Let be a commutative ring with unity. The notion of maximal non -subrings is introduced and studied. A ring is called a maximal non -subring of a ring if is not a -extension, and for any ring such that , is a -extension. We show that a maximal non -subring of a field has at most two maximal ideals, and exactly two if is integrally closed in the given field. A determination of when the classical construction is a maximal non -domain is given. A necessary condition is given...
Maximal non-Jaffard subrings of a field.
A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain and each domain T such that R ⊂ T ⊆ L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dimv R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when R is integrally...
Medial subcartesian products of fields
Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.