14 citations · 58 across the 18 of their papers we have counts for
20 papers
New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
Le Tuan Hoa, Doan Quang Tien
A monomial curve is defined by a sequence of coprime integers . One gap of this sequence is . Gruson--Lazarsfeld--Peskine…
Regularity functions of powers of graded ideals
Le Tuan Hoa, Hop Dang Nguyen, Ngo Viet Trung
This paper studies the problem of which sequences of non-negative integers arise as the functions , , $\operatorname{reg}…
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…
Maximal generating degrees of powers of homogeneous ideals
Le Tuan Hoa
The degree excess function is the difference between the maximal generating degree of a homogeneous ideal of a polynomial ring and , where is th…
The 80-year development of Vietnam mathematical research: Preliminary insights from the SciMath database on mathematicians, their works and their networks
Ngo Bao Chau, Vuong Quan Hoang, La Viet Phuong +10
Starting with the first international publication of Le Van Thiem in 1947, modern mathematics in Vietnam is a longstanding research field. However, what is known about its developm…
Asymptotic behavior of Integer Programming and the stability of the Castelnuovo-Mumford regularity
Le Tuan Hoa
The paper provides a connection between Commutative Algebra and Integer Programming and contains two parts. The first one is devoted to the asymptotic behavior of integer programs…