10 citations · 41 across the 25 of their papers we have counts for
25 papers
The -number of generalized binomial edge ideals of some graphs
Yi-Huang Shen, Guangjun Zhu
Let be a finite connected simple graph, and let denote its generalized binomial edge ideal. By investigating the colon ideals of , we…
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…
Generalized binomial edge ideals of bipartite graphs
Yi-Huang Shen, Guangjun Zhu
Connected bipartite graphs whose binomial edge ideals are Cohen--Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo--Mumford regular…
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…