9 citations · 26 across the 26 of their papers we have counts for
26 papers
Depth functions and symbolic depth functions of homogeneous ideals
Huy Tai Ha, Ngo Viet Trung
We survey recent studies and results on the following problem: which numerical functions can be the depth function of powers and symbolic powers of homogeneous ideals.
Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves
Tran Thi Gia Lam, Ngo Viet Trung
Projective monomial curves correspond to rings generated by monomials of the same degree in two variables. Such rings always have finite Macaulayfication. We show how to characteri…
Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications
N. V. Trung, J. K. Verma
This paper is a survey on major results on Hilbert functions of multigraded algebras and mixed multiplicities of ideals, including their applications to the computation of Milnor n…
Vertex cover algebras of unimodular hypergraphs
Jurgen Herzog, Takayuki Hibi, Ngo Viet Trung
It is proved that all vertex cover algebras of a hypergraph are standard graded if and only if the hypergraph is unimodular. This has interesting consequences on the symbolic power…
Integral closures of monomial ideals and Fulkersonian hypergraphs
Ngo Viet Trung
We prove that the integral closures of the powers of a squarefree monomial ideal I equal the symbolic powers if and only if I is the edge ideal of a Fulkersonian hypergraph.
Uniform bounds in generalized Cohen-Macaulay rings
Cao Huy Linh, Ngo Viet Trung
We establish a uniform bound for the Castelnuovo-Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen-Macaulay ring. As consequences, we obtain…