29 citations · 42 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
Monomial Cycle Basis on Koszul Homology Modules
Dorin Popescu
It gives a class of -Borel principal ideals of a polynomial algebra over a field for which the graded Betti numbers do not depend on the characteristic of and the Koszul…
Criterions for Shellable Multicomplexes
Dorin Popescu
After [J.Herzog, D.Popescu, Finite filtrations of modules and shellable multicomplexes, Preprint IMAR no 4/2005, Bucharest, 2005], the shellability of multicomplexes is given i…
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…