Avoidable structures, II: Finite distributive lattices and nicely structured ordered sets
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- 作者：Wieslaw Dziobiak ; Jaroslav Je?ek and Ralph McKenzie
- 关键词：finite distributive lattice ; finite ordered set ; universal class ; well ; quasi ; ordered set
- 刊名：Algebra Universalis
- 出版年：2009
- 出版时间：April, 2009
- 年：2009
- 卷：60
- 期：3
- 页码：259-291
- 全文大小：375.6 KB
文摘
Let ¨¢D, ¡ê ?\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 ¨¢D, ¡ê ?\langle {\mathcal{D}}, \leq \rangle that are well-quasi-ordered by embeddability, and thus characterize the members of D\mathcal{D} that belong to at least one infinite anti-chain in D\mathcal{D}.