Distributive lattices determined by weighted double skeletons
Rings and Algebras
2012-10-15 v1
Abstract
Related to his S-glued sum construction, the skeleton S(L) of a finite lattice L was introduced by C. Herrmann in 1973. Our theorem asserts that if D is a finite distributive lattice and its second skeleton, S(S(D)), is the trivial lattice, then D is characterized by its weighted double skeleton, introduced by the second author in 2006. The assumption on the second skeleton is essential.
Keywords
Cite
@article{arxiv.1210.3520,
title = {Distributive lattices determined by weighted double skeletons},
author = {Gábor Czédli and Joanna Grygiel and Katarzyna Grygiel},
journal= {arXiv preprint arXiv:1210.3520},
year = {2012}
}
Comments
12 pages and 2 figures