A Note on the Modularization of Lattices

A Note on the Modularization of Lattices

Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes.

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Veröffentlicht in:Order (Dordrecht) 2020-07, Vol.37 (2), p.311-318
1. Verfasser: Gao, Yibo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Combinatorial analysis
Discrete Mathematics
Lattices
Lattices (mathematics)
Mathematics
Mathematics and Statistics
Modularization
Order
Ordered Algebraic Structures
Polytopes
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Beschreibung
Zusammenfassung:Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes.
ISSN:0167-8094
1572-9273
DOI:10.1007/s11083-019-09507-1