2 citations · 3 across the 5 of their papers we have counts for
8 papers
Which series are Hilbert series of graded modules over polynomial rings?
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
Let be a multigraded polynomial ring such that the degree of each variable is a unit vector; so is the homogeneous coordinate ring of a product of projective spaces. In thi…
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…
Duality and syzygies for semimodules over numerical semigroups
Julio José Moyano-Fernández, Jan Uliczka
Let be a numerical semigroup. In this article we consider the dual of a -semimodule ; in particular we deduce a formula that expresses the minim…
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.…
Lattice paths with given number of turns and semimodules over numerical semigroups
Julio José Moyano-Fernández, Jan Uliczka
Let Γ=<α, β> be a numerical semigroup. In this article we consider several relations between the so-called Γ-semimodules and lattice paths from (0,α) to (β,0): we investigate isomo…
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…