Interval Dismantlable Lattices

Autor:	Kira Adaricheva, Steffen Lempp, James B. Nation, Jennifer Hyndman
Rok vydání:	2017
Předmět:	Combinatorics Discrete mathematics Algebra and Number Theory Computational Theory and Mathematics Quasivariety High Energy Physics::Lattice Lattice (order) Generating set of a group Geometry and Topology Computer Science::Databases Mathematics
Zdroj:	Order. 35:133-137
ISSN:	1572-9273 0167-8094
Popis:	A finite lattice is interval dismantlable if it can be partitioned into an ideal and a filter, each of which can be partitioned into an ideal and a filter, etc., until you reach 1-element lattices. In this note, we find a quasi-equational basis for the pseudoquasivariety of interval dismantlable lattices, and show that there are infinitely many minimal interval non-dismantlable lattices.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::db7c3634fdf7245b00df9a6f0b87e873 https://doi.org/10.1007/s11083-017-9422-7 Zobrazit plný text záznamu Full text from SpringerLink