4 citations · 24 across the 28 of their papers we have counts for
31 papers
Binomial edge rings associated to skew Ferrers diagrams
Kuei-Nuan Lin, Yi-Huang Shen
In this study, we investigate the binomial edge ring associated with the skew Ferrers diagram. By employing Sagbi basis theory, we construct a quadratic Gröbner basis for its defin…
Blowup Algebras of --dimensional Ferrers Diagrams
Kuei-Nuan Lin, Yi-Huang Shen
We demonstrate that the direct sum of ideals satisfying the strong -exchange property is of fiber type. Furthermore, we provide Gröbner bases of the presentation ideals of mu…
Blowup algebras of determinantal modules
Kuei-Nuan Lin, Yi-Huang Shen
We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically…
Regularity and multiplicity of Veronese type algebras
Kuei-Nuan Lin, Yi-Huang Shen
In this paper, we study the algebra of Veronese type. We show that the presentation ideal of this algebra has an initial ideal whose Alexander dual has linear quotients. As an appl…
Toric Ideals of Weighted Oriented Graphs
Jennifer Biermann, Selvi Kara, Kuei-Nuan Lin +1
Given a vertex-weighted oriented graph, we can associate to it a set of monomials. We consider the toric ideal whose defining map is given by these monomials. We find a generating…
Blow-up algebras of secant varieties of rational normal scrolls
Kuei-Nuan Lin, Yi-Huang Shen
In this paper, we are mainly concerned with the blow-up algebras of the secant varieties of balanced rational normal scrolls. In the first part, we give implicit defining equations…
Symbolic powers of generalized star configurations of hypersurfaces
Kuei-Nuan Lin, Yi-Huang Shen
We introduce the class of sparse symmetric shifted monomial ideals. These ideals have linear quotients and their Betti numbers are computed. Using this, we prove that the symbolic…
Rees algebras of sparse determinantal ideals
Ela Celikbas, Emilie Dufresne, Louiza Fouli +4
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a sparse matrix. We prove that their initial alg…
Multi-Rees Algebras of Strongly Stable Ideals
Selvi Kara, Kuei-Nuan Lin, Gabriel Sosa
We prove that the multi-Rees algebra of a collection of strongly stable ideals is of fiber type. In particular, we pr…
Fiber cones of rational normal scrolls are Cohen-Macaulay
Kuei-Nuan Lin, Yi-Huang Shen
In this short paper, we show that the fiber cones of rational normal scrolls are Cohen-Macaulay. As an application, we compute their Castelnuovo-Mumford regularities and $\mathbf{a…
Rees Algebras of Unit Interval Determinantal Facet Ideals
Ayah Almousa, Kuei-Nuan Lin, Whitney Liske
Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particu…
Symbolic powers and free resolutions of generalized star configurations of hypersurfaces
Kuei-Nuan Lin, Yi-Huang Shen
As a generalization of the ideals of star configurations of hypersurfaces, we consider the -fold product ideal when is a seque…
Algebraic invariants of weighted oriented graphs
Selvi Kara, Jennifer Biermann, Kuei-Nuan Lin +1
Let be a weighted oriented graph and let be its edge ideal in a polynomial ring . We give the formula of Castelnuovo-Mumford regularity of $R/I(\m…
Projective dimension of Hypergraphs
Kuei-Nuan Lin, Sonja Mapes
Given a square-free monomial ideal , satisfying certain hypotheses, in a polynomial ring over a field , we compute the projective dimension of . Specifically,…
On the conjecture of Vasconcelos for Artinian almost complete intersection monomial ideals
Kuei-Nuan Lin, Yi-Huang Shen
In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.
Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams
Kuei-Nuan Lin, Yi-Huang Shen
We investigate the Castelnuovo-Mumford regularity and the multiplicity of the toric ring associated with a three-dimensional Ferrers diagram. In particular, in the rectangular case…
Multi-Rees Algebras and Toric Dynamical Systems
David A. Cox, Kuei-Nuan Lin, Gabriel Sosa
This paper explores the relation between multi-Rees algebras and ideals that arise in the study of toric dynamical systems from the theory of chemical reaction networks.
Edge ideals of oriented graphs
Huy Tài Hà, Kuei-Nuan Lin, Susan Morey +2
Let be a weighted oriented graph and let be its edge ideal. Under a natural condition that the underlying (undirected) graph of contain…
Lattices and Hypergraphs associated to square-free monomial ideals
Kuei-Nuan Lin, Sonja Mapes
Given a square-free monomial ideal in a polynomial ring over a field , one can associate it with its LCM-lattice and its hypergraph. In this short note, we esta…
Koszul blowup algebras associated to three-dimensional Ferrers diagrams
Kuei-Nuan Lin, Yi-Huang Shen
We investigate the Rees algebra and the toric ring of the squarefree monomial ideal associated to the three-dimensional Ferrers diagram. Under the projection property condition, we…
Generalized Newton Complementary Duals of Monomial Ideals
Katie Ansaldi, Kuei-Nuan Lin, Yi-Huang Shen
Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including li…
LCM Duals of Monomial Ideals
Katie Ansaldi, Kuei-Nuan Lin
Given a monomial ideal in a polynomial ring over a field, we define the LCM-dual of the given ideal. We show good properties of LCM-duals. Including the isomorphism between the spe…
Hypergraphs with high projective dimension and 1-dimensional Hypergraphs
Kuei-Nuan Lin, Paolo Mantero
We prove a sufficient and a necessary condition for a square-free monomial ideal associated to a (dual) hypergraph to have projective dimension equal to the minimal number of g…
Cohen-Macaulayness of Rees Algebras of Modules
Kuei-Nuan Lin
We provide the sufficient conditions for Rees algebras of modules to be Cohen-Macaulay, which has been proven in the case of Rees algebras of ideals by Johnson-Ulrich and Goto-Naka…