3 papers
math.AC2026
Relative Hochster--Takayama formula and Cohen--Macaulay monomial ideal quotients
Tai Huy Ha, Nguyen Cong Minh
Hochster's and Takayama's formulas describes the multigraded components of local cohomology modules of monomial ideals in terms of simplicial complexes. In this paper, we develop a…
math.AC2025
Extremal Betti numbers of certain two-dimensional monomial ideals
Nguyen Quang Loc, Nguyen Cong Minh, Phan Thi Thuy
In this paper, we shall provide explicit formulas for the extremal Betti numbers of , where is the defining ideal of certain weighted hyperplanes in and $R…
math.AC2024
Regularity of integral closures of edge ideals of weighted oriented graphs
Nguyen Cong Minh, Thanh Vu, Guangjun Zhu
We prove that the regularity cannot increase when taking the integral closure for edge ideals of arbitrary weighted oriented graphs.