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。
Abstract: 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.