output
20142024

6 papers

math.AC2024

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…

math.AC2015

Gr{ö}bner basis. a "pseudo-polynomial" algorithm for computing the Frobenius number

Marcel Morales, Dung Nguyen Thi

Let consider natural numbers . Let be the numerical semigroup generated by . Set $A=K[t^{a\_1}, \ldots , t^{a\_n}]=K[{x\_1},…

math.AC2015

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…

math.AC2014

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…

math.AC2014

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…

math.AC2014

Castelnuovo-Mumford Regularity And Segre-Veronese Transform

Marcel Morales, Dung Nguyen Thi

In this paper we give a nice formula for the Castelnuovo-Mumford regularity of the Segre product of modules, under some suitable hypotheses. This extends recent results of David A.…