9 citations · 31 across the 10 of their papers we have counts for
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The weak Lefschetz property of artinian algebras associated to paths and cycles
Hop D. Nguyen, Quang Hoa Tran
Given a base field of characteristic zero, for each graph , we associate the artinian algebra defined by the edge ideal of and the squares of the variables. W…
Asymptotic regularity of invariant chains of edge ideals
Do Trong Hoang, Hop D. Nguyen, Quang Hoa Tran
We study chains of nonzero edge ideals that are invariant under the action of the monoid of increasing functions on the positive integers. We prove that the sequence…
A new proof of Stanley's theorem on the strong Lefschetz property
Ho V. N. Phuong, Quang Hoa Tran
A standard graded artinian monomial complete intersection algebra , with a field of characteristic zero,…
Powers of sums and their associated primes
Hop D. Nguyen, Quang Hoa Tran
Let be polynomial rings over a field , and proper homogeneous ideals. We analyze the associated primes of powers of $I+J\subseteq A\otimes_k…
The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets
Rosa M. Miró-Roig, Quang Hoa Tran
It has been conjectured that {\it all} graded Artinian Gorenstein algebras of codimension three have the weak Lefschetz property over a field of characteristic zero. In this paper,…
On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
Rosa M. Miró-Roig, Quang Hoa Tran
In 2012, Migliore, the first author, and Nagel conjectured that, for all , the artinian ideal generated by the…
The weak Lefschetz property for Artinian Gorenstein algebras of codimension three
Rosa Maria Miró-Roig, Quang Hoa Tran
We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Apéry set of a numerical semigroup ge…
Fibers of rational maps and Jacobian matrices
Marc Chardin, Steven Dale Cutkosky, Quang Hoa Tran
A rational map is defined by homogeneous polynomials of a common degree . We establish a linear bound in terms of for the…
Cohen-Macaulayness and canonical module of residual intersections
Marc Chardin, José Naéliton, Quang Hoa Tran
We show the Cohen-Macaulayness and describe the canonical module of residual intersections in a Cohen-Macaulay local ring , under sliding depth type h…
Bound for the number of one-dimensional fibers of a projective morphism
Quang Hoa Tran
Given a birational parameterization of an algebraic surface , we bound the number of 1-dimensional…