3 citations · 5 across the 8 of their papers we have counts for
8 papers
Asymptotic stability of certain sets of associated prime ideals of local cohomology modules
Nguyen Tu Cuong, Nguyen Van Hoang, Pham Huu Khanh
Let $(R,\m)$ be a Noetherian local ring two ideals of and a finitely generated module. It is first shown that for the integer $r_k = \depth_k(I,J^nM/J…
Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay Modules
Nguyen Tu Cuong, Hoang Le Truong
The purpose of this paper is to give affirmative answers to two open questions as follows. Let $(R, \m)$ be a generalized Cohen-Macaulay Noetherian local ring. Both questions, the…
On the Vanishing and the Finiteness of Supports of Generalized Local Cohomology Modules
Nguyen Tu Cuong, Nguyen Van Hoang
Let $(R,\fr m)$ be a Noetherian local ring, an ideal of and two finitely generated -modules. The first result of this paper is to prove a vanishing theorem for ge…
Parametric Decomposition of Powers of Parameter Ideals and Sequentially Cohen-Macaulay Modules
Nguyen Tu Cuong, Hoang Le Truong
Let be a finitely generated module of dimension over a Noetherian local ring $(R,\m)$ and $\q $ the parameter ideal generated by a system of parameters $\x = (x_1,..., x_d)…
On the Structure of Sequentially Generalized Cohen-Macaulay Modules
Nguyen Tu Cuong, Doan Trung Cuong
A finitely generated module over a local ring is called a sequentially generalized Cohen-Macaulay module if there is a filtration of submodules of : $M_0\subset M_1\subset .…
Top local cohomology and the catenaricity of the unmixed support of a finitely generated module
Nguyen Tu Cuong, Nguyen Thi Dung, Le Thanh Nhan
Let $(R,\m)$ be a Noetherian local ring and a finitely generated module with This paper is concerned with the following property for the top local cohomology mo…