Hoang Le Truong

activity

20102026

most citedWhen are the Rees algebras of parameter ideals almost Gorenstein graded rings?

4 citations · 7 across the 10 of their papers we have counts for

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11 papers · 1 filter

math.AC2026

Superlinear regularity of Frobenius powers on a normal hypersurface

Tran Nam Trung, Hoang Le Truong

We give answers to four questions on linear bounds for Frobenius powers. Let $m$ denote the homogeneous maximal ideal. We construct a height-two prime $I$ in a geometrica…

math.AC2026

Hilbert-Kunz multiplicities of powers of ideals and normalized Hilbert coefficients

Tran Nam Trung, Hoang Le Truong

We give negative answers to two questions of Smirnov on Hilbert coefficients of Frobenius powers and Hilbert-Kunz multiplicities of ordinary powers. We construct complete normal Co…

math.AC2026

Density functions for filtrations of graded ideals

Suprajo Das, Hoang Le Truong

We study density functions associated with filtrations of graded ideals in standard graded domains. Extending earlier work, we develop a general theory for arbitrary filtrations an…

math.AC2022

On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules

Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong

This paper shows that if $R$ is a homomorphic image of a Cohen-Macaulay local ring, then $R$ -module $M$ is sequentially generalized Cohen-Macaulay if and only if the difference bet…

math.AC2022

On the sectional genera and Cohen-Macaulay rings

Shinya Kumashiro, Hoang Le Truong, Hoang Ngoc Yen

We explore the behavior of the sectional genera of certain primary ideals in Noetherian local rings. In this paper, we provide characterizations of a Cohen-Macaulay local ring in t…

math.AC2022

On the set of Chern numbers in local rings

Hoang Le Truong, Hoang Ngoc Yen

This paper purposes to characterize Noetherian local rings $(R, m)$ such that the Chern numbers of certain $m$ -primary ideals in $R$ bounded above or range am…

math.AC2016★ 4 cited

When are the Rees algebras of parameter ideals almost Gorenstein graded rings?

Shiro Goto, Rahimi Mehran, Naoki Taniguchi +1

Let $A$ be a Cohen-Macaulay local ring with $dim A = d \geq 3$ , possessing the canonical module $K_{A}$ . Let $a_{1}, a_{2}, \dots, a_{r}$ $(3 \leq r \leq d)$ be a sub…

math.AC2015

Hilbert functions of socle ideals

Hoang Le Truong, Hoang Ngoc Yen

In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularit…

math.AC2014

On the index of reducibility in Noetherian modules

Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong

Let $M$ be a finitely generated module over a Noetherian ring $R$ and $N$ a submodule. The index of reducibility ir $_{M} (N)$ is the number of irreducible submodules that appear in an…

math.AC2013★ 2 cited

Huneke-Wiegand conjecture and change of rings

Shiro Goto, Ryo Takahashi, Naoki Taniguchi +1

Let $R$ be a Cohen-Macaulay local ring of dimension one with a canonical module $K_{R}$ . Let $I$ be a faithful ideal of $R$ . We explore the problem of when $I \otimes_{R} I^{\lor}$ …

math.AC2010

On a new invariant of finitely generated modules over local rings

Nguyen Tu Cuong, Doan Trung Cuong, Hoang Le Truong

Let $M$ be a finitely generated module on a local ring $R$ and $\F: M_0\subset M_1\subset...\subset M_t=M$ a filtration of submodules of $M$ such that $d_{o} < d_{1} < ... < d_{t} = d$ , where…