3 citations · 5 across the 11 of their papers we have counts for
12 papers
On the index of reducibility of parameter ideals: The stable and limit values
Nguyen Tu Cuong, Pham Hung Quy
Let be a Noetherian local ring and a finitely generated -module of dimension . A famous result of Northcott says that if is Cohen-Macaulay, then the in…
On the index of reducibility of powers of a standard parameter ideal
Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong
In this paper we study the index of reducibility of powers of a standard parameter ideal. An explicit formula is proved for the extremely case. We apply the main result to compute…
On the finiteness and stability of certain sets of associated primes ideals of local cohomology modules
Nguyen Tu Cuong, Nguyen Van Hoang
Let be a Noetherian local ring, an ideal of and a finitely generated -module. Let be an integer and $ r=\depth_k(I,N)$ the length of a maxi…
Hilbert coefficients and sequentially Cohen-Macaulay modules
Nguyen Tu Cuong, Shiro Goto, Hoang Le Truong
The purpose of this paper is to present a characterization of sequentially Cohen-Macaulay modules in terms of its Hilbert coefficients with respect to distinguished parameter ideal…
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…