63 citations · 321 across the 78 of their papers we have counts for
90 papers · 1 filter
Homological properties of the module of differentials
Jürgen Herzog, Benjamin Briggs, Srikanth B. Iyengar
These notes were produced by Jürgen Herzog to accompany his lectures in Recife, Brazil, in 1980, on the homological algebra of noetherian local rings. They are are concerned with t…
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 toric ring of one dimensional simplicial complexes
Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate
Let be a 1-dimensional simplicial complex. Then may be identified with a finite simple graph . In this article, we investigate the toric ring of . All graphs $G…
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…
Dirac's theorem and multigraded syzygies
Antonino Ficarra, Jürgen Herzog
Let be a simple finite graph. A famous theorem of Dirac says that is chordal if and only if admits a perfect elimination order. It is known by Fröberg that the edge ide…
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…