An open problem on congruences of finite lattices
Rings and Algebras
2023-03-02 v1
Abstract
Let be a planar semimodular lattice. We call \emph{slim}, if it has no sublattice. Let us define an \emph{SPS lattice} as a slim, planar, semimodular lattice . In 2016, I proved a property of congruences of SPS lattices (Two-cover Property) and raised the problem of characterizing them. Since then, more than 50 papers have been published contributing to this problem. In this survey, I provide an overview of this field with major contributions by G\'abor Cz\'edli.
Keywords
Cite
@article{arxiv.2303.00699,
title = {An open problem on congruences of finite lattices},
author = {George Grätzer},
journal= {arXiv preprint arXiv:2303.00699},
year = {2023}
}