A modular characterization of supersolvable lattices
arXiv:2011.11657 · doi:10.1090/proc/15645
Abstract
We characterize supersolvable lattices in terms of a certain modular type relation. McNamara and Thomas earlier characterized this class of lattices as those graded lattices having a maximal chain that consists of left-modular elements. Our characterization replaces the condition of gradedness with a second modularity condition on the maximal chain of left-modular elements.
9 pages, 2 figures; v2 includes corrections for publication