A characterization of well-founded algebraic lattices

zbMath1486.06002arXiv0812.2300MaRDI QIDQ4634989

Ilham Chakir, Maurice Pouzet

Publication date: 13 April 2018

Full work available at URL: https://arxiv.org/abs/0812.2300

zbMATH Keywords

posetsalgebraic latticeswell-quasi-ordered setsjoin-semilatticeswell-founded posets

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Semilattices (06A12)

Related Items (2)

On scattered convex geometries ⋮ A few characterizations of topological spaces with no infinite discrete subspace

Cites Work

• Ordered sets with no chains of ideals of a given type
• Infinite antichains in semilattices
• The Pontryagin duality of compact O-dimensional semilattices and its applications
• The length of chains in modular algebraic lattices
• Infinite independent sets in distributive lattices
• On families of mutually exclusive sets
• Independence of strong partition relation for small cardinals, and the free-subset problem
• Cardinal Representations for Closures and Preclosures
• Ordering by Divisibility in Abstract Algebras
• Sandwiches of ages
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