7 citations · 18 across the 21 of their papers we have counts for
30 papers
The eventual shape of the Betti table of
Antonino Ficarra, Jürgen Herzog, Somayeh Moradi
Let be the polynomial ring over a field in a finite set of variables, and let be the graded maximal ideal of . It is known that for a finitely generated…
The divisor class group of a discrete polymatroid
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi +1
In this paper we introduce toric rings of multicomplexes. We show how to compute the divisor class group and the class of the canonical module when the toric ring is normal. In the…
Toric rings attached to simplicial complexes
Jürgen Herzog, Somayeh Moradi, Ayesha Asloob Qureshi
We consider standard graded toric rings whose generators correspond to the faces of a simplicial complex . When is normal, it is shown that its divisor class group i…
Toric rings arising from vertex cover ideals
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to…
Binomial ideals attached to finite collections of cells
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
We consider the ideal of inner -minors of a finite set of cells , which we call the cell ideal of . A nice interpretation for the hei…
Some homological properties of Borel type ideals
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1
We study ideals of Borel type, including -Borel ideals and -spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity a…