A short proof of the congruence representation theorem for semimodular lattices
Rings and Algebras
2019-08-13 v2
Abstract
In a 1998 paper with H. Lakser, the authors proved that every finite distributive lattice can be represented as the congruence lattice of a finite \emph{semimodular lattice}. Some ten years later, the first author and E. Knapp proved a much stronger result, proving the representation theorem for \emph{rectangular lattices}. In this note we present a short proof of these results.
Keywords
Cite
@article{arxiv.1303.4464,
title = {A short proof of the congruence representation theorem for semimodular lattices},
author = {G. Grätzer and E. T. Schmidt},
journal= {arXiv preprint arXiv:1303.4464},
year = {2019}
}