9 citations · 11 across the 2 of their papers we have counts for
3 papers
math.AC2012★ 2 cited
The cones of Hilbert functions of squarefree modules
Cristina Bertone, Dang Hop Nguyen, Kathrin Vorwerk
In this paper, we study different generalizations of the notion of squarefreeness for ideals to the more general case of modules. We describe the cones of Hilbert functions for squ…
math.AC2011★ 9 cited
Seminormality and local cohomology of toric face rings
Dang Hop Nguyen
We characterize the toric face rings that are normal (respectively seminormal). Extending results about local cohomology of Brun, Bruns, Ichim, Li and Römer of seminormal monoid ri…
math.AC2011
On the Koszul property of toric face rings
Dang Hop Nguyen
Toric face rings is a generalization of the concepts of affine monoid rings and Stanley-Reisner rings. We consider several properties which imply Koszulness for toric face rings ov…