We study join-meet ideals associated with modular nondistributive lattices. We give a lower bound for the regularity and show that they are not linearly related.
"On the regularity of join-meet ideals of modular lattices." J. Commut. Algebra 13 (4) 479 - 488, Winter 2021. https://doi.org/10.1216/jca.2021.13.479