Rank Bounded Hibi Subrings for Planar Distributive Lattices

Rida Irfan, Nadia Shoukat

Let $L$ be a distributive lattice and $R[L]$ the associated Hibi ring. We show that if $L$ is planar, then any bounded Hibi subring of $R[L]$ has a quadratic Gröbner basis. We char…