The lattice of strict completions of a finite poset.

DOI10.1007/s00012-002-8183-2zbMath1058.06001OpenAlexW1995835026MaRDI QIDQ1771910

G. Hauser Bordalo, Bernard Monjardet

Publication date: 19 April 2005

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-002-8183-2

zbMATH Keywords

join-irreducible elementsstrict completion of a poset

Mathematics Subject Classification ID

Partial orders, general (06A06) Semimodular lattices, geometric lattices (06C10) Structure theory of lattices (06B05)

Related Items (4)

The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey ⋮ Unnamed Item ⋮ Going down in (semi)lattices of finite moore families and convex geometries ⋮ Prime filters, normality and irreducibility in lattices

Cites Work

• Interval graphs and interval orders
• On finite lattices which are embeddable in subsemigroup lattices
• The lattice of completions of an ordered set
• The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey
• The Imbedding Operators on a Partially Ordered Set
• Unnamed Item

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