An extension theorem for planar semimodular lattices
Rings and Algebras
2019-08-13 v6
Abstract
We prove that every finite distributive lattice can be represented as the congruence lattice of a rectangular lattice in which all congruences are principal. We verify this result in a stronger form as an extension theorem.
Cite
@article{arxiv.1304.7489,
title = {An extension theorem for planar semimodular lattices},
author = {G. Grätzer and E. T. Schmidt},
journal= {arXiv preprint arXiv:1304.7489},
year = {2019}
}