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- Vietnam Academy of Science and TechnologyVN22 papers
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9 papers · 1 filter
Toward mixed multiplicities and joint reductions
Truong Thi Hong Thanh, Duong Quoc Viet
In the direction towards the question when mixed multiplicities are equal to the Hilbert-Samuel multiplicity of joint reductions, this paper not only generalizes [28, Theorem 3.1]…
Mixed multiplicities and the multiplicity of rees modules of reductions (published in j. Algebra appl.)
Truong Thi Hong Thanh, Duong Quoc Viet
This paper shows that mixed multiplicities and the multiplicity of Rees modules of good filtrations and that of their reductions are the same. As an application of this result, we…
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…
Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals
Do Trong Hoang, Nguyen Cong Minh, Tran Nam Trung
Let be the edge ideal of a simple graph . In this paper, we will give sufficient and necessary combinatorial conditions of in which the second symbolic and ordinary p…
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…