5 citations · 5 across the 7 of their papers we have counts for
7 papers
On the Euler-Poincaré characteristic and mixed multiplicities of maximal degrees
Truong Thi Hong Thanh, Duong Quoc Viet
This paper defines the Euler-Poincaré characteristic of joint reductions of ideals which concerns the maximal terms in the Hilbert polynomial; characterizes the positivity of mixed…
The structure of perfect fields
Duong Quoc Viet, Truong Thi Hong Thanh
This paper builds fundamental perfect fields of positive characteristic and shows the structure of perfect fields that a field of positive characteristic is a perfect field if and…
On some properties of patial sums
Duong Quoc Viet, Truong Thi Hong Thanh
The paper gives some criteria for partial sums of rational number sequences to be not rational functions and to be not algebraic functions. As an application, we study partial sums…
On tangents to curves
Duong Quoc Viet
In this paper, we give a simple definition of tangents to a curve in elementary geometry. From which, we characterize the existence of the tangent to a curve at a point.
The Euler-Poincare characteristic and mixed multiplicities
Duong Quoc Viet, Truong Thi Hong Thanh
This paper defines mixed multiplicity systems; the Euler-Poincare characteristic and the mixed multiplicity symbol of -graded modules with respect to a mixed multipli…
On some multiplicity and mixed multiplicity formulas (Forum Math. 26(2014), 413-442)
Duong Quoc Viet, Truong Thi Hong Thanh
This paper gives the additivity and reduction formulas for mixed multiplicities of multi-graded modules and mixed multiplicities of arbitrary ideals, and establishes the recurs…
A note on joint reductions and mixed multiplicities
Duong Quoc Viet, Le Van Dinh, Truong Thi Hong Thanh
Let be a noetherian local ring with maximal ideal and infinite residue field Let be an -primary ideal, ideals…