On the number of atoms in three-generated lattices
Rings and Algebras
2020-08-04 v3
Abstract
As the main achievement of the paper, we construct a three-generated, 2-distributive, atomless lattice that is not finitely presented. Also, the paper contains the following three observations. First, every coatomless three-generated lattice has at least one atom. Second, we give some sufficient conditions implying that a three-generated lattice has at most three atoms. Third, we present a three-generated meet-distributive lattice with four atoms.
Keywords
Cite
@article{arxiv.2001.03188,
title = {On the number of atoms in three-generated lattices},
author = {Gábor Czédli},
journal= {arXiv preprint arXiv:2001.03188},
year = {2020}
}
Comments
12 pages, 3 figures