65 citations · 613 across the 138 of their papers we have counts for
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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…
Finite distributive lattices, polyominoes and ideals of König type
Jürgen Herzog, Takayuki Hibi
Finite distributive lattices whose join-meet ideals are of König type will be classified. Furthermore, a class of polyominoes whose polyomino ideals are of König type will be studi…