63 citations · 321 across the 78 of their papers we have counts for
12 papers · 1 filter
Regularity and Gorenstein property of the -convex Polyominoes
Viviana Ene, Jürgen Herzog, Ayesha Asloob Qureshi +1
We study the coordinate ring of an -convex polyomino, determine its regularity in terms of the maximal number of rooks that can be placed in the polyomino. We also characterize…
Matchings and squarefree powers of edge ideals
Nursel Erey, Jürgen Herzog, Takayuki Hibi +1
Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, a…
Sortable Freiman ideals
Jürgen Herzog, Guangjun Zhu
In this paper it is shown that a sortable ideal is Freiman if and only if its sorted graph is chordal. This characterization is used to give a complete classification of Freima…
The socle module of a monomial ideal
Lizhong Chu, Jürgen Herzog, Dancheng Lu
For any ideal in a Noetherian local ring or any graded ideal in a standard graded -algebra over a field , we introduce the socle module , whose grade…
Ulrich elements in normal simplicial affine semigroups
Jürgen Herzog, Raheleh Jafari, Dumitru I. Stamate
Let be a normal affine semigroup, its semigroup ring over the field and its canonical module. The Ulrich elements for are those …
The saturation number of powers of graded ideals
Jürgen Herzog, Shokoufe Karimi, Amir Mafi
Let be the polynomial ring in variables over a field with maximal ideal , and let be a graded ideal of . In this paper,…