A survey of lattice properties: modular, Arguesian, linear, and distributive

2024/02/20 by Dale Worley, Worley, Dale R. · 1 citation
Computer Science · #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2403.19677

Abstract

This is a survey of characterizations and relationships between some properties of lattices, particularly the modular, Arguesian, linear, and distributive properties, but also some other related properties. The survey emphasizes finite and finitary lattices and deemphasizes complemented lattices.

Cited by

• On the combinatorics of tableaux -- A notebook of open problems

Related

• Modular lattices of finite length (Part A)
• χ -extending modular lattices
• The Congruences of a Finite Lattice, A "Proof-by-Picture" Approach, third edition
• 2-distributivity and lattices of sublattices closed under taking relative complements
• Representing finite distributive lattices as congruence lattices of lattices