Higher order relations for a numerical semigroup
Antonio Campillo,Carlos Marijuán +1 more
TLDR
In this article, the conditions générales d'utilisation (http://www.numdam.org/legal.cedram.php) of the agreement are discussed.Abstract:
© Université Bordeaux 1, 1991, tous droits réservés. L’accès aux archives de la revue « Journal de Théorie des Nombres de Bordeaux » (http://jtnb.cedram.org/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.read more
Citations
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Journal ArticleDOI
Syzygies of codimension 2 lattice ideals
Irena Peeva,Bernd Sturmfels +1 more
TL;DR: In this article, the authors consider the more general class of lattice ideals and show how to identify monomials x in a polynomial ring S = k[x1,..., xn] over a field k and identify x in S with vectors a ∈ N.
Journal ArticleDOI
On the delta set and the Betti elements of a BF-monoid
TL;DR: In this article, the minimum and maximum elements of a cancellative and reduced atomic monoid S were determined using the Betti elements of S. This leads to a determination of when S is a singleton.
Journal ArticleDOI
Minimal Resolutions and the Homology of Matching and Chessboard Complexes
Victor Reiner,Joel Roberts +1 more
TL;DR: In this paper, the authors generalize work of Lascoux and Jozefiak-Pragacz-Weyman on Betti numbers for minimal free resolutions of ideals generated by 2 × 2 minors of generic matrices and generic symmetric matrices.
Book ChapterDOI
Betti numbers for numerical semigroup rings
TL;DR: In this article, the authors survey results related to the magnitude of Betti numbers of numerical semigroup rings and their tangent cones, and show that the Betti number of a semigroup ring can be expressed as
Journal ArticleDOI
Periodicity of Betti numbers of monomial curves
TL;DR: In this article, it was shown that the Betti numbers of I ( a + j ) are eventually periodic in j with period a n − a 1, when j is large enough.
References
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Journal ArticleDOI
Generators and relations of abelian semigroups and semigroup rings
TL;DR: In this paper, the authors studied the relations of finitely generated abelian semigroups and showed that the number of relations defining a semigroup is greater than or equal to the least number of generators of S minus the rank of the associated group of S.
Journal ArticleDOI
Sous-monoïdes d’intersection complète de $N$
TL;DR: Gauthier-Villars as discussed by the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).
Book ChapterDOI
Die Wertehalbgruppe eines lokalen Rings der Dimension 1
Jürgen Herzog,Ernst Kunz +1 more
TL;DR: In this paper, a multiplikativ abgeschlossene Teilmenge eines diskreten Bewertungsrings V with 1∈R, so bilden die Werte der Elemente von R eine Unterhalbgruppe H der Halbgruppen der naturlichen Zahlen N with 0∈H.