3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
On direct summands of syzygies of the residue field of a local ring
Doan Trung Cuong, Toshinori Kobayashi
We investigate local rings in which a syzygy of the residue field occurs as a direct summand of another syzygy of the field. This class of local rings includes Golod rings, Burch r…
Syzygies of the residue field over Golod rings
Doan Trung Cuong, Hailong Dao, David Eisenbud +3
Let be a Golod ring. We show a recurrent formula for high syzygies of interms of previous ones. In the case of embedding dimension at most , we provided complete d…
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 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…