146 citations · 230 across the 11 of their papers we have counts for
15 papers
The strong Lefschetz property and simple extensions
Juergen Herzog, Dorin Popescu
Stanley showed that monomial complete intersections have the strong Lefschetz property. Extending this result we show that a simple extension of an Artinian Gorenstein algebra with…
Notes on the multiplicity conjecture
Juergen Herzog, Xinxian Zheng
New cases of the multiplicity conjecture are considered.
Finite Filtrations of Modules and Shellable Multicomplexes
Juergen Herzog, Dorin Popescu
We introduce pretty clean modules, extending the notion of clean modules by Dress, and show that pretty clean modules are sequentially Cohen-Macaulay. We also extend a theorem of D…
On the radical of a monomial ideal
Juergen Herzog, Yukihide Takayama, Naoki Terai
Algebraic and combinatorial properties of a monomial ideal and its radical are compared.
The depth of powers of an ideal
Juergen Herzog, Takayuki Hibi
We study the limit and initial behavior of the numerical function $f(k)=\depth S/I^k$. General properties of this function together with concrete examples arising from combinatoric…
The monomial ideal of a finite meet-semilattice
Juergen Herzog, Takayuki Hibi, Xinxian Zheng
Squarefree monomial ideals arising from finite meet-semilattices and their free resolutions are studied. For the squarefree monomial ideals corresponding to poset ideals in a distr…