65 citations · 613 across the 138 of their papers we have counts for
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The reduced divisor class group and the torsion number
Jürgen Herzog, Takayuki Hibi
The reduced divisor class group of a normal Cohen--Macaulay graded domain together with its torsion number is introduced. They are studied in detail especially for normal affine se…
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…
Behaviour of the normalized depth function
Antonino Ficarra, Jürgen Herzog, Takayuki Hibi
Let be a squarefree monomial ideal, a field. The th squarefree power of is the monomial ideal of generated by all squarefree…
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…
The normalized depth function of squarefree powers
Nursel Erey, Jürgen Herzog, Takayuki Hibi +1
The depth of squarefree powers of a squarefree monomial ideal is introduced. Let be a squarefree monomial ideal of the polynomial ring . The -th squaref…
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…