Avoidable structures, II: Finite distributive lattices and nicely structured ordered sets

• Autores: Wieslaw Dziobiak, Jaroslav Jezek, Ralph McKenzie
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 60, Nº. 3, 2009, págs. 259-291
• Idioma: inglés
• DOI: 10.1007/s00012-009-2098-0
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• Resumen

  • Let $$\langle {\mathcal{D}}, \leq \rangle$$ be the ordered set of isomorphism types of finite distributive lattices, where the ordering is by embeddability. We characterize the order ideals in $$\langle {\mathcal{D}}, \leq \rangle$$ that are well-quasi-ordered by embeddability, and thus characterize the members of $$\mathcal{D}$$ that belong to at least one infinite anti-chain in $$\mathcal{D}$$.