4 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 defi…
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…
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…
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 m…