Yi-Huang Shen

collaborators

5 papers

math.AC2026

The $v$ -number of generalized binomial edge ideals of some graphs

Yi-Huang Shen, Guangjun Zhu

Let $G$ be a finite connected simple graph, and let $J_{K_{m}, G}$ denote its generalized binomial edge ideal. By investigating the colon ideals of $J_{K_{m}, G}$ , we…

math.AC2025

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 GrÃ¶bner basis for its defi…

math.AC2025

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…

math.AC2025

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…

math.AC2025

Blowup Algebras of $n$ --dimensional Ferrers Diagrams

Kuei-Nuan Lin, Yi-Huang Shen

We demonstrate that the direct sum of ideals satisfying the strong $ℓ$ -exchange property is of fiber type. Furthermore, we provide GrÃ¶bner bases of the presentation ideals of m…

The v-number of generalized binomial edge ideals of some graphs

Binomial edge rings associated to skew Ferrers diagrams

Regularity and multiplicity of Veronese type algebras

Blowup algebras of determinantal modules

Blowup Algebras of n--dimensional Ferrers Diagrams

The $v$ -number of generalized binomial edge ideals of some graphs

Blowup Algebras of $n$ --dimensional Ferrers Diagrams