4 papers
Factor-critical graphs and dstab, astab for an edge ideal
Marcel Morales, Nguyen Thi Dung
Let be a simple, connected non bipartite graph and let be the edge idealof . In our previous work we showed that L. Lovász's theorem on ear decompositions offactor-cri…
Topics on sequentially Cohen-Macaulay modules
Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung +1
In this paper, we study the two different topics related to sequentially Cohen-Macaulay modules. The questions are when the sequentially Cohen-Macaulay property preserve the locali…
Sequentially Cohen-Macaulay Rees algebras
Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung +1
This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen-Macaulay. Although this problem has been already inves…
Hilbert series of Segre transform, and Castelnuovo-Mumford regularity
Marcel Morales, Dung Nguyen Thi
In a recent preprint, Ilse Fischer and Martina Kubitzke, proved the bilinearity of the Segre transform under some restricted hypothesis, motivated by their results we show in this…