Truong Thi Hien

activity

20212025

collaborators

5 papers

math.AC2025

Depth and regularity of powers of edge ideals of edge-weighted trees

Truong Thi Hien, Jiaxin Li, Tran Nam Trung +1

For an increasing weighted tree $G_{ω}$ , we obtain an asymptotic value and a sharp bound on the index stability of the depth function of its edge ideal $I (G_{ω})$ . Moreover, if $G_{ω}$ i…

math.AC2025

Cohen-Macaulayness of Powers of Edge Ideals of Weighted Oriented Graphs

Truong Thi Hien, Jiaxin Li, Tran Nam Trung +1

For the edge ideal $I(\D)$ of a weighted oriented graph $\D$, we prove that its symbolic powers $I(\D)^{(t)}$ are Cohen-Macaulay for all $t ⩾ 1$ if and only if the underlyin…

math.AC2024

On the set of associated radicals of powers of monomial ideals

Nguyen Thu Hang, Truong Thi Hien

Let $I$ be a monomial ideal in a polynomial ring. In this paper, we study the asymptotic behavior of the set of associated radical ideals of the (symbolic) powers of $I$ . We show t…

math.AC2022

Depth stability of cover ideals

Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien +1

Let R = K[x1,...,xr] be a polynomial ring over a field K. Let G be a graph with vertex set {1,...,r} and let J be the cover ideal of G. We give a sharp bound for the stability inde…

math.AC2021

Regularity of symbolic powers of square-free monomial ideals

Truong Thi Hien, Tran Nam Trung

We study the regularity of symbolic powers of square-free monomial ideals. We prove that if $I = I_{Δ}$ is the Stanley-Reisner ideal of a simplicial complex $Δ$ , then $\reg(I^{(n)})…