15 citations · 15 across the 5 of their papers we have counts for
6 papers · 1 filter
Hilbert coefficients of good I-Filtrations of modules
Le Xuan Dung
Let be a finitely generated module of dimention d over a Noetherian local ring (A,m) and I an m-primary ideal. Let be a pair of good I-filtrations F and F' of M. We show that t…
Cohen-Macaulay oriented graphs with large girth
Le Xuan Dung, Tran Nam Trung
We classify the Cohen-Macaulay weighted oriented graphs whose underlying graphs have girth at least .
Upper bounds on two Hilbert coefficients
Le Xuan Dung, Juan Elias, Le Tuan Hoa
New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be…
Regularity and Koszul property of symbolic powers of monomial ideals
Le Xuan Dung, Truong Thi Hien, Hop D. Nguyen +1
Let be a homogeneous ideal in a polynomial ring over a field. Let be the -th symbolic power of . Motivated by results about ordinary powers of , we study the…
A note on Castelnuovo-Mumford regularity and Hilbert coefficients
Le Xuan Dung, Le Tuan Hoa
New upper and lower bounds on the Castelnuovo-Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense n…
Castelnuovo-Mumford regularity of associated graded modules and fiber cones of filtered modules
Le Xuan Dung, Le Tuan Hoa
We give bounds on the Castelnuovo-Mumford regularity of the associated graded module of an arbitrary good filtration and of its fiber cone. These bounds extend previous results of…