6 citations · 7 across the 4 of their papers we have counts for
4 papers
Cochordal zero divisor graphs and Betti numbers of their edge ideals
Le Xuan Dung, Thanh Vu
We associate a sequence of positive integers, termed the type sequence, with a cochordal graph. Using this type sequence, we compute all graded Betti numbers of its edge ideal. We…
Castelnuovo-Mumford regularity of associated graded modules of k-Buchsbaum modules
Le Xuan Dung
Bounds on the Castelnuovo-Mumford regularity of the associated graded modules of k-Buchsbaum modules M are given in terms of k and some other invariants of M.
Dependence of Hilbert coefficients
Le Xuan Dung, Le Tuan Hoa
Let be a finitely generated module of dimension and depth over a Noetherian local ring () and an -primary ideal. In the main result…
Castelnuovo-Mumford regularity of the associated graded module in dimension one
Le Xuan Dung
An upper bound for the Castelnuovo-Mumford regularity of the associated graded module of an one-dimension module is given in term of its Hilbert coeffcients. It is also investigate…