11 citations · 22 across the 6 of their papers we have counts for
9 papers
On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules
Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong
This paper shows that if is a homomorphic image of a Cohen-Macaulay local ring, then -module is sequentially generalized Cohen-Macaulay if and only if the difference bet…
On the structure of finitely generated modules and the unmixed degrees
Nguyen Tu Cuong, Pham Hung Quy
Let be a homomorphic image of a Cohen-Macaulay local ring and a finitely generated -module. We use the splitting of local cohomology to shed a new light on th…
On the limit closure of a sequence of elements in local rings
Nguyen Tu Cuong, Pham Hung Quy
We present a systematic study for the limit closure of a sequence of elements (eg. a system of of parameters) in a local ring. Firstly, we…
On the index of reducibility in Noetherian modules
Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong
Let be a finitely generated module over a Noetherian ring and a submodule. The index of reducibility ir is the number of irreducible submodules that appear in an…
Local cohomology annihilators and Macaulayfication
Nguyen Tu Cuong, Doan Trung Cuong
The aim of this paper is to study a deep connection between local cohomology annihilators and Macaulayfication and arithmetic Macaulayfication over a local ring. Local cohomology a…
On the cofiniteness of generalized local cohomology modules
Nguyen Tu Cuong, Shiro Goto, Nguyen Van Hoang
Let be a commutative Noetherian ring, an ideal of and , two finitely generated -modules. The aim of this paper is to investigate the -cofiniteness of gener…
A Splitting Theorem for Local Cohomology and its Applications
Nguyen Tu Cuong, Pham Hung Quy
Let be a commutative Noetherian ring and a finitely generated -module. We show in this paper that, for an integer , if the local cohomology module $H^{i}_\mathfrak{a}…
On pseudo supports and non Cohen-Macaulay locus of finitely generated modules
Nguyen Tu Cuong, Le Thanh Nhan, Nguyen Thi Kieu Nga
Let $(R,\m)$ be a Noetherian local ring and a finitely generated -module with Let be an integer. Following M. Brodmann and R. Y. Sharp \cite{BS1}, the…
On a new invariant of finitely generated modules over local rings
Nguyen Tu Cuong, Doan Trung Cuong, Hoang Le Truong
Let be a finitely generated module on a local ring and $\F: M_0\subset M_1\subset...\subset M_t=M$ a filtration of submodules of such that , where…