paper

Arrow Relations in Lattices of Integer Partitions

arXiv:2403.07217 · doi:10.1016/j.ijar.2024.109244

Abstract

We give a complete characterisation of the single and double arrow relations of the standard context of the lattice of partitions of any positive integer under the dominance order, thereby addressing an open question of Ganter, 2022.

28 pages, 8 figures, 3 tables and 3 contexts