14 citations · 36 across the 17 of their papers we have counts for
5 papers · 1 filter
Eliahou number, Wilf function and concentration of a numerical semigroup
Patricio Almirón, Julio José Moyano-Fernández
We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semi…
A formula for the conductor of a semimodule of a numerical semigroup with two generators
Patricio Almirón, Julio José Moyano-Fernández
We provide an expression for the conductor of a semimodule of a numerical semigroup with two generators in terms of the syzygy module of and the generators of th…
Hilbert series of modules over positively graded polynomials rings
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the neg…
Hilbert regularity of ZZ-graded modules over polynomial rings
Winfried Bruns, Julio José Moyano-Fernández, Jan Uliczka
Let M be a finitely generated ZZ-graded module over the standard graded polynomial ring R=K[X_1, ..., X_n] with K a field, and let H_M(t)=Q_M(t)/(1-t)^d be the Hilbert series of M.…
Hilbert depth of graded modules over polynomial rings in two variables
Julio José Moyano-Fernández, Jan Uliczka
In this article we mainly consider the positively Z-graded polynomial ring R=F[X,Y] over an arbitrary field F and Hilbert series of finitely generated graded R-modules. The central…