Authors: Ranitović, Marijana Gorjanac
Tepavčević, Andreja 
Affiliations: Computer Science 
Title: On Planarity of Join-between Lattices
Journal: Journal of Multiple-Valued Logic and Soft Computing
Volume: 38
Issue: 1-2
First page: 183
Last page: 196
Issue Date: 2022
Rank: ~M21a
ISSN: 1542-3980
For elements x, y, and z of a lattice, we say that y is join-between x and z if y is the meet of the join of x and y and that of z and y and, in addition, y is less than or equal to the join of x and z. We prove that if each three element anti-chain of a finite lattice L has an element that is join-between the other two elements of this anti-chain, then L is planar.
Keywords: betweenness relation | conjugate order | join-betweenness relation | Lattice | order | planar lattice
Publisher: Old City Publishing

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