Pham Hung Quy

activity

20162026

collaborators

Showing math.ACShow all

12 papers · 1 filter

math.AC2025

The Depth Formula for modules over quotients of Gorenstein rings

Tran Nguyen An, Pham Hung Quy

A foundational result by C. Huneke and V. Trivedi provides a formula for the depth of an ideal in terms of height, computed over a finite set of prime ideals, for rings that are ho…

math.AC2025

Upper bound of multiplicity in Cohen-Macaulay rings of prime characteristic

Duong Thi Huong, Pham Hung Quy

Let $(R, m)$ be a local ring of prime characteristic $p$ and of dimension $d$ with the embedding dimension $v$ , type $s$ and the Frobenius test exponent for parameter ideals…

math.AC2022

On the Frobenius closure of parameter ideals when the ring is F-injective on the punctured spectrum

Duong Thi Huong, Pham Hung Quy

Let $(R, m)$ be an excellent generalized Cohen-Macaulay local ring of dimension $d$ that is $F$ -injective on the punctured spectrum. Let $q$ be a standard parameter idea…

math.AC2021

Frobenius test exponent for ideals generated by filter regular sequences

Duong Thi Huong, Pham Hung Quy

Let $(R, m)$ be a Noetherian local ring of prime characteristic $p > 0$ , and $t$ an integer such that $H_{m}^{j} (R) / 0_{H_{m}^{j} (R)}^{F}$ has finite length for all $j < t$ .…

math.AC2019

Asymptotic Lech's inequality

Craig Huneke, Linquan Ma, Pham Hung Quy +1

We explore the classical Lech's inequality relating the Hilbert--Samuel multiplicity and colength of an $m$ -primary ideal in a Noetherian local ring $(R, m)$ .…

math.AC2019

Filter regular sequence under small perturbations

Linquan Ma, Pham Hung Quy, Ilya Smirnov

We answer affirmatively a question of Srinivas--Trivedi: in a Noetherian local ring $(R, m)$ , if $I = (f_{1}, \dots, f_{r})$ is an ideal generated by a filter-regular sequence an…