Thai Nguyen University

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20072026

most citedSecurity and privacy for 6G: A survey on prospective technologies and challenges

509 citations

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11 papers · 1 filter

math.AC2026

The transfer of Artinian and Cohen-Macaulay properties under module-finite extensions

Tran Do Minh Chau

This paper deals with certain classes of modules under module-finite extensions. Let $φ : R ↪ S$ be a module-finite extension between commutative Noetherian local rings…

math.AC2026

Cohen-Macaulayness of formal fibers and dimension of local cohomology modules

Tran Do Minh Chau

Let $(R, m)$ be a Noetherian local ring, $M$ a finitely generated $R$ -module of dimension $d$ . Set $a (M) := a_{0} (M) \dots a_{d - 1} (M)$ , whe…

math.AC2025

Ascent and descent of Artinian module structures under flat base changes

Tran Do Minh Chau, Le Thanh Nhan

Let $φ : R \to S$ be a flat local homomorphism between commutative Noetherian local rings. In this paper, the ascent and descent of Artinian module structures between $R$ and…

math.AC2025★ 3 cited

On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules

Nguyen Xuan Linh, Le Thanh Nhan

We introduce the notions of sequential sequence and sequential f-sequence in order to characterize sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay m…

math.AC2024

Annihilator of local cohomology modules under localization and completion

Nguyen Thi Anh Hang, Le Thanh Nhan

Let $(R, m)$ be a Noetherian local ring. This paper deals with the annihilator of Artinian local cohomology modules $H_{m}^{i} (M)$ in the relation with the structure of t…

math.AC2023

On depth of modules in an ideal

Tran Nguyen An

Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ a finitely generated $R$ -module with $dim_{R} (M) = d$ . Denote by $\depth_R(I,M)$ the depth of $M$ in $I$ . In \cit…