8 citations · 22 across the 19 of their papers we have counts for
5 papers · 2 filters
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 length function of saturations of ideal powers
Doan Trung Cuong, Pham Hong Nam, Pham Hung Quy
For an ideal in a local ring $(R, \fm)$, we prove that the integer-valued function $\ell_R(H^0_\fm(R/I^{n+1}))$ is a polynomial for big enough if either is a principle…
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…
Frobenius actions on local cohomology modules and deformation
Linquan Ma, Pham Hung Quy
Let be a Noetherian local ring of characteristic . We introduce and study -full and -anti-nilpotent singularities, both are defined in terms of the Frobenius act…
-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic
Pham Hung Quy, Kazuma Shimomoto
The main aim of this article is to study the relation between -injective singularity and the Frobenius closure of parameter ideals in Noetherian rings of positive characteristic…