%0 Journal Article %T Rank bounded Hibi subrings for planar distributive lattices %A Irfan %A Rida %A Shoukat %A Nadia %J - %D 2019 %X Sa£żetak 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 Grobner basis. We characterize all planar distributive lattices L for which any proper rank bounded Hibi subring of R[L] has a linear resolution. Moreover, if R[L] is linearly related for a lattice L, we find all the rank bounded Hibi subrings of R[L] which are linearly related too %K Rank bounded Hibi Subrings %K Linear resolution %K Linear syzygies %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=330652