146 citations · 230 across the 11 of their papers we have counts for
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math.AC2005★ 29 cited
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…
math.AC2005★ 22 cited
Notes on the multiplicity conjecture
Juergen Herzog, Xinxian Zheng
New cases of the multiplicity conjecture are considered.
math.AC2005
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…