Avoidable structures. II: Finite distributive lattices and nicely structured ordered sets (Q1047091)
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scientific article; zbMATH DE number 5652282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Avoidable structures. II: Finite distributive lattices and nicely structured ordered sets |
scientific article; zbMATH DE number 5652282 |
Statements
Avoidable structures. II: Finite distributive lattices and nicely structured ordered sets (English)
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4 January 2010
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Let \(\mathcal{D}\) be the set of isomorphism types of finite distributive lattices. Suppose that \(\mathcal{D}\) is ordered by embeddability. The authors characterize the order ideals in \(\mathcal{D}\) that are well-quasi-ordered by embeddability and characterize the members of \(\mathcal{D}\) that are elements of infinite anti-chains in \(\mathcal{D}\). For Part I see [Algebra Univers. 60, No.~3, 247--258 (2009; Zbl 1208.08001)].
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ordered set
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universal class
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well-quasi-ordered set
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finite distributive lattices
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order ideals
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