7 citations · 7 across the 5 of their papers we have counts for
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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…
The canonical trace of determinantal rings
Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate +1
We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\m…
Rings of invariants for three dimensional modular representations
Jürgen Herzog, Vijaylaxmi Trivedi
Let be a prime number. We compute the rings of invariants of the elementary abelian -group for -dimensional generic representations. Furtherm…
On the relations of isotonian algebras
Jürgen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama
It is shown that for large classes of posets and , the defining ideal of an isotonian algebras is generated by squarefree binomials. Within these classes, those po…
Quadratic numerical semigroups and the Koszul property
Jürgen Herzog, Dumitru I. Stamate
Let be a numerical semigroup. We give effective bounds for the multiplicity when the associated graded ring is defined by quadrics.…