Pham Hung Quy

activity

20242026

collaborators

8 papers

math.AC2026

Buchsbaum modules and parameter ideals under flat extensions

Nguyen Thi Hong Loan, Le Thanh Nhan, Pham Hung Quy

Let $(R, m)$ and $(S, n)$ be commutative Noetherian local rings, let $I ¨ : R \to S$ be a flat local homomorphism. In this paper, we first characterize the ascent and desce…

math.AC2026

A sharp bound for the Frobenius test exponents in generalized Cohen-Macaulay local rings

Duong Thi Huong, Pham Hung Quy

Let $(R, m)$ be a generalized Cohen-Macaulay local ring of prime characteristic $p$ . In this paper we give a sharp bound for the Frobenius test exponent of parameter ideals. N…

math.AC2026

A Buchsbaum theory for Frobenius closure

Kriti Goel, Kyle Maddox, Lance Edward Miller +2

We give a partial characterization for when the difference $e (q) - ℓ_{R} (R / q^{F})$ is independent of the choice of parameter ideal $q \subseteq R$ in a…

math.GR2026

Frobenius numbers and the first Hilbert coefficients of certain numerical semigroup rings

Do Van Kien, Pham Hung Quy

Let $a, b$ be positive integers. In this note, we study the numerical semigroup $H = ⟨ a, a + 1, b ⟩$ and and the associated numerical semigroup ring $R = k [[H]]$ . Under the certai…

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

On the structure of finitely generated modules and the unmixed degrees

Nguyen Tu Cuong, Pham Hung Quy

Let $(R, m)$ be a homomorphic image of a Cohen-Macaulay local ring and $M$ a finitely generated $R$ -module. We use the splitting of local cohomology to shed a new light on th…