Some properties of Butler modules over valuation domains
Some properties of direct sums of uniserial modules over valuation domains
Some remarks about the Dedekind-Mertens lemma
The Dedekind-Mertens lemma relates the contents of two polynomials and the content of their product. Recently, Epstein and Shapiro extended this lemma to the case of power series. We review the problem with a special emphasis on the case of power series, give an answer to a question posed by Epstein-Shapiro and investigate extensions of some related results. This note is of expository character and discusses the history of the problem, some examples and announces some new results.
Some remarks on normal property of graded subalgebras of polynomial rings.
Some remarks on Prüfer modules
We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.
Some representations for series on idempotent semirings - or how to go beyond recognizability keeping representability
In this article, we compare different types of representations for series with coefficients in complete idempotent semirings. Each of these representations was introduced to solve a particular problem. We show how they are or are not included one in the other and we present a common generalization of them.
Some Results about Modules over Discrete Hodge Algebras.
Some surprising Hilbert-Kunz functions.
Sommes de puissances m-ièmes dans les anneaux β-adiques et les anneaux d'entiers algébriques
Sortable elements for quivers with cycles.
Sous-anneaux de la forme D+I d'une K-algèbre intègre
Special isomorphisms of preserving GCD and their use
On the ring of polynomials in n variables over a field special isomorphisms ’s of into are defined which preserve the greatest common divisor of two polynomials. The ring is extended to the ring and the ring of generalized polynomials in such a way that the exponents of the variables are non-negative rational numbers and rational numbers, respectively. The isomorphisms ’s are extended to automorphisms ’s of the ring . Using the property that the isomorphisms ’s preserve GCD it...
Spécialisation des revêtements en caractéristique
Stability Theorems for Overrings of Polynomial Rings.
Stable Reduction and Uniformization of Abelian Varieties I.
Stable reduction and uniformization of abelian varieties II.
Stanley decompositions and polarization
We define nice partitions of the multicomplex associated with a Stanley ideal. As the main result we show that if the monomial ideal is a CM Stanley ideal, then is a Stanley ideal as well, where is the polarization of .
Stanley decompositions of the Bracket ring.
Stanley filtrations and strongly stable ideals.
Stathmes euclidiens et séries formelles