Zilber's Theorem for planar lattices, revisited
Rings and Algebras
2021-04-29 v1
Abstract
Zilber's Theorem states that a finite lattice is planar if{}f it has a complementary order relation. We provide a new proof for this crucial result and discuss some applications, including a canonical form for finite planar lattices and an analysis of coverings in the left-right order.
Cite
@article{arxiv.2104.13862,
title = {Zilber's Theorem for planar lattices, revisited},
author = {Kirby A. Baker and George Grätzer},
journal= {arXiv preprint arXiv:2104.13862},
year = {2021}
}