3 papers
math.AC2023
Ideals and their Fitting ideals
David Eisenbud, Antonino Ficarra, Jürgen Herzog +1
For an ideal in a Noetherian ring , the Fitting ideals are studied. We discuss the question of when or $\sqrt{\textrm{Fitt}_j(I)}…
math.AC2023
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…
math.AC2019
The regularity of edge rings and matching numbers
Jürgen Herzog, Takayuki Hibi
Let denote the edge ring of a finite connected simple graph on and $\mat(G)$ the matching number of . It is shown that $\reg(K[G]) \leq \mat(G)$ if is non-b…