Adaricheva, KiraCz´edli, G´abor2016-02-092016-02-092012Kira Adaricheva, G´abor Cz´edli; 2012; Notes on the description of join-distributive lattices by permutations; arXiv.orghttp://nur.nu.edu.kz/handle/123456789/1213Let L be a join-distributive lattice with length n and width (Ji L) k. There are two ways to describe L by k − 1 permutations acting on an n-element set: a combinatorial way given by P.H. Edelman and R. E. Jamison in 1985 and a recent lattice theoretical way of the second author. We prove that these two approaches are equivalent. Also, we characterize join-distributive lattices by trajectoriesenAttribution-NonCommercial-ShareAlike 3.0 United StatesResearch Subject Categories::MATHEMATICSjoin-distributive latticesArticle