2-distributivity and lattices of sublattices closed under taking relative complements
Gábor Czédli · arXiv (Cornell University) · 2022
For a modular lattice $L$ of finite length, we prove that the distributivity of $L$ is a sufficient condition while its 2-distributivity is a necessary condition that those sublattices of $L$ that are closed under taking relative complements form a ranked lattice of finite length.