2-distributivity and lattices of sublattices closed under taking relative complements
Rings and Algebras
2022-01-19 v2
Abstract
For a modular lattice of finite length, we prove that the distributivity of is a sufficient condition while its 2-distributivity is a necessary condition that those sublattices of that are closed under taking relative complements form a ranked lattice of finite length.
Keywords
Cite
@article{arxiv.2201.02189,
title = {2-distributivity and lattices of sublattices closed under taking relative complements},
author = {Gábor Czédli},
journal= {arXiv preprint arXiv:2201.02189},
year = {2022}
}
Comments
5 pages, no figure