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Bandelt, H.J. (1982) On regularity classes of binary relations. In: Universal Algebra and Applications, Banach Center Publications, Vol. 9, PWN Polish Scientific Publishers, Warsaw, 329-333.

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• 标题: 偏序集到完全分配格的并稠嵌入Join Dense Embeddings of Posets in Completely Distributive Lattices

  作者: 徐晓泉

  关键字: 偏序集, 子集系统, 完全分配格, 并稠嵌入, 正则关系Poset, Subset System, Completely Distributive Lattice, Join Dense Embedding, Regular Relation

  期刊名称: 《Pure Mathematics》, Vol.5 No.4, 2015-07-30

  摘要: 基于正则关系，建立了偏序集到完全分配格的并稠嵌入定理，证明了在同构的意义下，偏序集到完全分配格的并稠嵌入是唯一的，即均是由一些正则关系诱导的并稠嵌入。Based on regular relations, the join dense embedding theorem of posets in completely distributive lattices is established, and it is proved that up to isomorphism, such embeddings are unique, that is, they all are the join dense embeddings induced by certain regular relations on posets.