Semi-local lattices
Seminormal graded rings and weakly normal projective varieties.
Semiprime factorizations in unions of Dedekind domains.
Semirigid GCD Domains.
Semisimple Algebras and a Cancellation Law.
Semivaluations and -groups
Separable adel algebras and a presentation of Weil groups.
Separable -free modules with almost trivial dual
An -module has an almost trivial dual if there are no epimorphisms from to the free -module of countable infinite rank . For every natural number , we construct arbitrarily large separable -free -modules with almost trivial dual by means of Shelah’s Easy Black Box, which is a combinatorial principle provable in ZFC.
Separably Real Closed Local Rings.
Separating ideals in dimension 2.
Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.
Sequences between d-sequences and sequences of linear type
The notion of a d-sequence in Commutative Algebra was introduced by Craig Huneke, while the notion of a sequence of linear type was introduced by Douglas Costa. Both types of sequences generate ideals of linear type. In this paper we study another type of sequences, that we call c-sequences. They also generate ideals of linear type. We show that c-sequences are in between d-sequences and sequences of linear type and that the initial subsequences of c-sequences are c-sequences. Finally we prove a...
Série de Poincaré pour certaines courbes
Séries formelles et produit de Hadamard
Nous nous intéressons ici essentiellement à l’algèbre de Hadamard des séries formelles. Si des résultats importants ont été obtenus dans le cas d’une variable, il n’en est pas de même dans le cas de plusieurs variables. En effet, beaucoup de problèmes posés restent encore sans réponse. C’est le cas par exemple du problème du quotient de Hadamard, ou celui de la caractérisation des éléments de Hadamard inversibles, ou les diviseurs de zéro, ou encore le problème des multiplicateurs de certains sous-ensembles...
Séries formelles rationnelles et reconnaissables
Séries restreintes et compacité linéaire
Shellability and the strong gcd-condition.
Short generating functions for some semigroup algebras.
Signatures et composantes connexes.
Signatures of Higher Level on Rings with Many Units.
Sign-graded posets, unimodality of -polynomials and the Charney-Davis conjecture.