The First Syzygy of Hibi Rings Associated with Planar distributive lattices

Priya Das, Himadri Mukherjee

Let $\mathcal{L}$ be a finite distributive lattice and $S=K[x_{\alpha }:\alpha \in \mathcal{L}]$ be a polynomial ring over a field $K$ and $I=\langle x_αx_β- x_{α\vee β} x_{α\wedgeβ} : α\nsim β…