Le Thanh Nhan

collaborators

5 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

On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus

Doan Trung Cuong, Le Thanh Nhan, Nguyen Xuan Linh

Let (R,m) be a Noetherian local ring, I an ideal of R and M a finitely generated R-module. In this paper, we define and study E-depth and Ef-depth of M in I. We prove that E-depth…

math.AC2025

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.AC2025

Ascent and descent of Artinian module structures under flat base changes

Tran Do Minh Chau, Le Thanh Nhan

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

math.AC2025

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…