Dual digraphs of finite meet-distributive and modular lattices

DOI10.56754/0719-0646.2602.279MaRDI QIDQ6601987

Miroslav Haviar, Andrew P. K. Craig, Klarise Marais

Publication date: 11 September 2024

Published in: Cubo (Search for Journal in Brave)

zbMATH Keywords

semimodular latticemodular latticelower semimodular latticefinite convex geometryTiRS digraphmeet- distributive lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Semimodular lattices, geometric lattices (06C10) Directed graphs (digraphs), tournaments (05C20) Modular lattices, Desarguesian lattices (06C05) Generalizations of ordered sets (06A75)

Cites Work

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• A fresh perspective on canonical extensions for bounded lattices.
• TiRS graphs and TiRS frames: a new setting for duals of canonical extensions
• A characterization of semi-distributivity
• A topological representation theory for lattices
• Join-semidistributive lattices and convex geometries.
• Convex Geometries
• Lattice Theory: Foundation
• Dual digraphs of finite semidistributive lattices

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