3 citations
4 papers
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…
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…